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82046976 = 212311607
BaseRepresentation
bin1001110001111…
…11000000000000
312201101102021220
410320333000000
5132001000401
612050315040
72014250004
oct470770000
9181342256
1082046976
114234a120
1223588a80
1313cc900b
14ac7a704
15730a336
hex4e3f000

82046976 has 104 divisors (see below), whose sum is σ = 239046144. Its totient is φ = 24821760.

The previous prime is 82046969. The next prime is 82046983. The reversal of 82046976 is 67964028.

It is an interprime number because it is at equal distance from previous prime (82046969) and next prime (82046983).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134865 + ... + 135471.

Almost surely, 282046976 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 82046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523072).

82046976 is an abundant number, since it is smaller than the sum of its proper divisors (156999168).

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

82046976 is a wasteful number, since it uses less digits than its factorization.

82046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 82046976 is about 9057.9785824432. The cubic root of 82046976 is about 434.5310946754.

The spelling of 82046976 in words is "eighty-two million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 607 704 768 1024 1056 1214 1408 1536 1821 2048 2112 2428 2816 3072 3642 4096 4224 4856 5632 6144 6677 7284 8448 9712 11264 12288 13354 14568 16896 19424 20031 22528 26708 29136 33792 38848 40062 45056 53416 58272 67584 77696 80124 106832 116544 135168 155392 160248 213664 233088 310784 320496 427328 466176 621568 640992 854656 932352 1243136 1281984 1709312 1864704 2486272 2563968 3418624 3729408 5127936 6837248 7458816 10255872 13674496 20511744 27348992 41023488 82046976