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85021056 = 273373337
BaseRepresentation
bin1010001000101…
…01000110000000
312220222111222000
411010111012000
5133231133211
612234144000
72051444541
oct504250600
9186874860
1085021056
1143aa063a
1224582000
13147ca923
14b4124c8
1576e6656
hex5115180

85021056 has 128 divisors (see below), whose sum is σ = 255122400. Its totient is φ = 27869184.

The previous prime is 85021051. The next prime is 85021061. The reversal of 85021056 is 65012058.

It is an interprime number because it is at equal distance from previous prime (85021051) and next prime (85021061).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85021051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252120 + ... + 252456.

Almost surely, 285021056 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 85021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127561200).

85021056 is an abundant number, since it is smaller than the sum of its proper divisors (170101344).

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

85021056 is a wasteful number, since it uses less digits than its factorization.

85021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85021056 is about 9220.6863085130. The cubic root of 85021056 is about 439.7192699617.

The spelling of 85021056 in words is "eighty-five million, twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 337 384 432 438 576 584 657 674 864 876 1011 1152 1168 1314 1348 1728 1752 1971 2022 2336 2628 2696 3033 3456 3504 3942 4044 4672 5256 5392 6066 7008 7884 8088 9099 9344 10512 10784 12132 14016 15768 16176 18198 21024 21568 24264 24601 28032 31536 32352 36396 42048 43136 48528 49202 63072 64704 72792 73803 84096 97056 98404 126144 129408 145584 147606 194112 196808 221409 252288 291168 295212 388224 393616 442818 582336 590424 664227 787232 885636 1164672 1180848 1328454 1574464 1771272 2361696 2656908 3148928 3542544 4723392 5313816 7085088 9446784 10627632 14170176 21255264 28340352 42510528 85021056