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1482393312 = 2535379503
BaseRepresentation
bin101100001011011…
…1000011011100000
310211022101101100000
41120112320123200
511013443041222
6403032500000
751510064251
oct13026703340
93738341300
101482393312
116a0855044
1235454a600
131a816930a
14100c3cb28
158a21c9ac
hex585b86e0

1482393312 has 144 divisors (see below), whose sum is σ = 4391936640. Its totient is φ = 491847552.

The previous prime is 1482393287. The next prime is 1482393313. The reversal of 1482393312 is 2133932841.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482393313) 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, 2946853 + ... + 2947355.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 21482393312 is an apocalyptic number.

1482393312 is a gapful number since it is divisible by the number (12) 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 1482393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195968320).

1482393312 is an abundant number, since it is smaller than the sum of its proper divisors (2909543328).

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

1482393312 is an equidigital number, since it uses as much as digits as its factorization.

1482393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 887 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1482393312 is about 38501.8611498198. The cubic root of 1482393312 is about 1140.2177977221.

The spelling of 1482393312 in words is "one billion, four hundred eighty-two million, three hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 379 432 486 503 648 758 864 972 1006 1137 1296 1509 1516 1944 2012 2274 2592 3018 3032 3411 3888 4024 4527 4548 6036 6064 6822 7776 8048 9054 9096 10233 12072 12128 13581 13644 16096 18108 18192 20466 24144 27162 27288 30699 36216 36384 40743 40932 48288 54324 54576 61398 72432 81486 81864 92097 108648 109152 122229 122796 144864 162972 163728 184194 190637 217296 244458 245592 325944 327456 368388 381274 434592 488916 491184 571911 651888 736776 762548 977832 982368 1143822 1303776 1473552 1525096 1715733 1955664 2287644 2947104 3050192 3431466 3911328 4575288 5147199 6100384 6862932 9150576 10294398 13725864 15441597 18301152 20588796 27451728 30883194 41177592 46324791 54903456 61766388 82355184 92649582 123532776 164710368 185299164 247065552 370598328 494131104 741196656 1482393312