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3325285152 = 253271986813
BaseRepresentation
bin1100011000110011…
…1101001100100000
322120202002222200100
43012030331030200
523302233111102
61305544222400
7145255312620
oct30614751440
98522088610
103325285152
111457044a52
1278976aa00
1340cbc6267
142378bc880
15146de9a1c
hexc633d320

3325285152 has 144 divisors (see below), whose sum is σ = 11376106560. Its totient is φ = 900066816.

The previous prime is 3325285081. The next prime is 3325285157. The reversal of 3325285152 is 2515825233.

3325285152 is a `hidden beast` number, since 3 + 32 + 528 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33252851522 = 22115042684223326208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3325285157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5103 + ... + 81710.

It is an arithmetic number, because the mean of its divisors is an integer number (79000740).

Almost surely, 23325285152 is an apocalyptic number.

3325285152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688053280).

3325285152 is an abundant number, since it is smaller than the sum of its proper divisors (8050821408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3325285152 is a wasteful number, since it uses less digits than its factorization.

3325285152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86855 (or 86844 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 3325285152 is about 57665.2855017644. The cubic root of 3325285152 is about 1492.5983747014.

The spelling of 3325285152 in words is "three billion, three hundred twenty-five million, two hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 86813 173626 260439 347252 520878 607691 694504 781317 1041756 1215382 1389008 1562634 1649447 1823073 2083512 2430764 2778016 3125268 3298894 3646146 4167024 4861528 4948341 5469219 6250536 6597788 7292292 8334048 9723056 9896682 10938438 11546129 12501072 13195576 14584584 14845023 19446112 19793364 21876876 23092258 25002144 26391152 29169168 29690046 34638387 39586728 43753752 46184516 52782304 58338336 59380092 69276774 79173456 87507504 92369032 103915161 118760184 138553548 158346912 175015008 184738064 207830322 237520368 277107096 369476128 415660644 475040736 554214192 831321288 1108428384 1662642576 3325285152