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656020992 = 2931141947
BaseRepresentation
bin100111000110100…
…001011000000000
31200201102022121210
4213012201120000
52320420132432
6145032450120
722154041434
oct4706413000
91621368553
10656020992
11307341310
12163849940
13a5bb1703
14631aa9c4
153c8d68cc
hex271a1600

656020992 has 160 divisors (see below), whose sum is σ = 1955124864. Its totient is φ = 193740800.

The previous prime is 656020921. The next prime is 656020993. The reversal of 656020992 is 299020656.

It is a self number, because there is not a number n which added to its sum of digits gives 656020992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656020993) 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, 692263 + ... + 693209.

Almost surely, 2656020992 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 656020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977562432).

656020992 is an abundant number, since it is smaller than the sum of its proper divisors (1299103872).

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

656020992 is a wasteful number, since it uses less digits than its factorization.

656020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 656020992 is about 25612.9067464042. The cubic root of 656020992 is about 868.9055652820.

The spelling of 656020992 in words is "six hundred fifty-six million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 512 528 656 704 768 902 947 984 1056 1312 1353 1408 1536 1804 1894 1968 2112 2624 2706 2816 2841 3608 3788 3936 4224 5248 5412 5632 5682 7216 7576 7872 8448 10417 10496 10824 11364 14432 15152 15744 16896 20834 20992 21648 22728 28864 30304 31251 31488 38827 41668 43296 45456 57728 60608 62502 62976 77654 83336 86592 90912 115456 116481 121216 125004 155308 166672 173184 181824 230912 232962 242432 250008 310616 333344 346368 363648 427097 465924 484864 500016 621232 666688 692736 727296 854194 931848 1000032 1242464 1281291 1333376 1454592 1708388 1863696 2000064 2484928 2562582 2666752 3416776 3727392 4000128 4969856 5125164 5333504 6833552 7454784 8000256 9939712 10250328 13667104 14909568 16000512 19879424 20500656 27334208 29819136 41001312 54668416 59638272 82002624 109336832 164005248 218673664 328010496 656020992