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104039472 = 24329312411
BaseRepresentation
bin1100011001110…
…00010000110000
321020202202022210
412030320100300
5203113230342
614153532120
72402215035
oct614702060
9236682283
10104039472
1153800439
122aa14040
1318729324
14db6338c
15920179c
hex6338430

104039472 has 80 divisors (see below), whose sum is σ = 287124480. Its totient is φ = 32390400.

The previous prime is 104039461. The next prime is 104039483. The reversal of 104039472 is 274930401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104039461) and next prime (104039483).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41947 + ... + 44357.

It is an arithmetic number, because the mean of its divisors is an integer number (3589056).

Almost surely, 2104039472 is an apocalyptic number.

104039472 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 104039472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143562240).

104039472 is an abundant number, since it is smaller than the sum of its proper divisors (183085008).

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

104039472 is a wasteful number, since it uses less digits than its factorization.

104039472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 104039472 is about 10199.9741176142. The cubic root of 104039472 is about 470.3264248155.

Adding to 104039472 its reverse (274930401), we get a palindrome (378969873).

The spelling of 104039472 in words is "one hundred four million, thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1392 1488 1798 2411 2697 3596 4822 5394 7192 7233 9644 10788 14384 14466 19288 21576 28932 38576 43152 57864 69919 74741 115728 139838 149482 209757 224223 279676 298964 419514 448446 559352 597928 839028 896892 1118704 1195856 1678056 1793784 2167489 3356112 3587568 4334978 6502467 8669956 13004934 17339912 26009868 34679824 52019736 104039472