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3275897472 = 27333130577
BaseRepresentation
bin1100001101000010…
…0011101010000000
322110022011211112000
43003100203222000
523202112204342
61301021504000
7144115445331
oct30320435200
98408154460
103275897472
111431182291
12775112000
134028c3793
14231104288
151428e144c
hexc3423a80

3275897472 has 128 divisors (see below), whose sum is σ = 9980659200. Its totient is φ = 1056706560.

The previous prime is 3275897419. The next prime is 3275897489. The reversal of 3275897472 is 2747985723.

3275897472 is a `hidden beast` number, since 32 + 7 + 58 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91848 + ... + 122424.

It is an arithmetic number, because the mean of its divisors is an integer number (77973900).

Almost surely, 23275897472 is an apocalyptic number.

3275897472 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 3275897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990329600).

3275897472 is an abundant number, since it is smaller than the sum of its proper divisors (6704761728).

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

3275897472 is a wasteful number, since it uses less digits than its factorization.

3275897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30613 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3275897472 is about 57235.4564234444. The cubic root of 3275897472 is about 1485.1720482225.

The spelling of 3275897472 in words is "three billion, two hundred seventy-five million, eight hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 30577 35712 53568 61154 91731 107136 122308 183462 244616 275193 366924 489232 550386 733848 825579 947887 978464 1100772 1467696 1651158 1895774 1956928 2201544 2843661 2935392 3302316 3791548 3913856 4403088 5687322 5870784 6604632 7583096 8530983 8806176 11374644 11741568 13209264 15166192 17061966 17612352 22749288 25592949 26418528 30332384 34123932 35224704 45498576 51185898 52837056 60664768 68247864 90997152 102371796 105674112 121329536 136495728 181994304 204743592 272991456 363988608 409487184 545982912 818974368 1091965824 1637948736 3275897472