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82150976 = 2671101179
BaseRepresentation
bin1001110010110…
…00011001000000
312201120200221202
410321120121000
5132012312401
612052440332
72015162135
oct471303100
9181520852
1082150976
1142410276
12236190a8
131403445b
14aca658c
15732b06b
hex4e58640

82150976 has 56 divisors (see below), whose sum is σ = 167883840. Its totient is φ = 39872000.

The previous prime is 82150967. The next prime is 82150979. The reversal of 82150976 is 67905128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82150979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458855 + ... + 459033.

Almost surely, 282150976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83941920).

82150976 is an abundant number, since it is smaller than the sum of its proper divisors (85732864).

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

82150976 is a wasteful number, since it uses less digits than its factorization.

82150976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 82150976 is about 9063.7175595889. The cubic root of 82150976 is about 434.7146161781.

The spelling of 82150976 in words is "eighty-two million, one hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 71 101 142 179 202 284 358 404 568 716 808 1136 1432 1616 2272 2864 3232 4544 5728 6464 7171 11456 12709 14342 18079 25418 28684 36158 50836 57368 72316 101672 114736 144632 203344 229472 289264 406688 458944 578528 813376 1157056 1283609 2567218 5134436 10268872 20537744 41075488 82150976