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69956496 = 2432172412
BaseRepresentation
bin1000010101101…
…11001110010000
311212122011021100
410022313032100
5120402101441
610535224400
71506422541
oct412671620
9155564240
1069956496
1136541395
121b518100
1311654a9c
1494104c8
15621ccb6
hex42b7390

69956496 has 135 divisors (see below), whose sum is σ = 213171283. Its totient is φ = 21411840.

The previous prime is 69956459. The next prime is 69956533. The reversal of 69956496 is 69465996.

It is a happy number.

The square root of 69956496 is 8364.

It is a perfect power (a square), and thus also a powerful number.

69956496 is a `hidden beast` number, since 69 + 95 + 6 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (69956459) and next prime (69956533).

It can be written as a sum of positive squares in 4 ways, for example, as 4928400 + 65028096 = 2220^2 + 8064^2 .

It is a super-2 number, since 2×699564962 = 9787822665196032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1706236 + ... + 1706276.

Almost surely, 269956496 is an apocalyptic number.

69956496 is the 8364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69956496

69956496 is an abundant number, since it is smaller than the sum of its proper divisors (143214787).

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

69956496 is a wasteful number, since it uses less digits than its factorization.

69956496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The cubic root of 69956496 is about 412.0431349565.

The spelling of 69956496 in words is "sixty-nine million, nine hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 289 306 328 369 408 492 578 612 656 697 738 816 867 984 1156 1224 1394 1476 1681 1734 1968 2091 2312 2448 2601 2788 2952 3362 3468 4182 4624 5043 5202 5576 5904 6273 6724 6936 8364 10086 10404 11152 11849 12546 13448 13872 15129 16728 20172 20808 23698 25092 26896 28577 30258 33456 35547 40344 41616 47396 50184 57154 60516 71094 80688 85731 94792 100368 106641 114308 121032 142188 171462 189584 213282 228616 242064 257193 284376 342924 426564 457232 485809 514386 568752 685848 853128 971618 1028772 1371696 1457427 1706256 1943236 2057544 2914854 3886472 4115088 4372281 5829708 7772944 8744562 11659416 17489124 23318832 34978248 69956496