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69972882 = 2372292283
BaseRepresentation
bin1000010101110…
…11001110010010
311212122222202020
410022323032102
5120403113012
610535432310
71506521400
oct412731622
9155588666
1069972882
1136552731
121b525696
131165c395
149416470
156222a8c
hex42bb392

69972882 has 72 divisors (see below), whose sum is σ = 169196976. Its totient is φ = 19234656.

The previous prime is 69972871. The next prime is 69972893. The reversal of 69972882 is 28827996.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69972871) and next prime (69972893).

It is a super-3 number, since 3×699728823 (a number of 25 digits) contains 333 as substring.

Its product of digits (870912) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247113 + ... + 247395.

It is an arithmetic number, because the mean of its divisors is an integer number (2349958).

Almost surely, 269972882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69972882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84598488).

69972882 is an abundant number, since it is smaller than the sum of its proper divisors (99224094).

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

69972882 is a wasteful number, since it uses less digits than its factorization.

69972882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 324 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 69972882 is about 8364.9794978828. The cubic root of 69972882 is about 412.0753035761.

The spelling of 69972882 in words is "sixty-nine million, nine hundred seventy-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 283 294 406 566 609 841 849 1218 1421 1682 1698 1981 2523 2842 3962 4263 5046 5887 5943 8207 8526 11774 11886 13867 16414 17661 24621 27734 35322 41209 41601 49242 57449 82418 83202 114898 123627 172347 238003 247254 344694 402143 476006 714009 804286 1206429 1428018 1666021 2412858 3332042 4998063 9996126 11662147 23324294 34986441 69972882