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56799006 = 231117233171
BaseRepresentation
bin1101100010101…
…0111100011110
310221212200120220
43120222330132
5104020032011
65345222210
71256532525
oct330527436
9127780526
1056799006
112a074a30
1217031966
13b9c8ca4
1477874bc
154ebe506
hex362af1e

56799006 has 128 divisors (see below), whose sum is σ = 143327232. Its totient is φ = 14784000.

The previous prime is 56798993. The next prime is 56799031. The reversal of 56799006 is 60099765.

It is a super-2 number, since 2×567990062 = 6452254165176072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799951 + ... + 800021.

It is an arithmetic number, because the mean of its divisors is an integer number (1119744).

Almost surely, 256799006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56799006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71663616).

56799006 is an abundant number, since it is smaller than the sum of its proper divisors (86528226).

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

56799006 is a wasteful number, since it uses less digits than its factorization.

56799006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 56799006 is about 7536.5115272253. The cubic root of 56799006 is about 384.3972262116.

The spelling of 56799006 in words is "fifty-six million, seven hundred ninety-nine thousand, six".

Divisors: 1 2 3 6 11 17 22 23 31 33 34 46 51 62 66 69 71 93 102 138 142 186 187 213 253 341 374 391 426 506 527 561 682 713 759 781 782 1023 1054 1122 1173 1207 1426 1518 1562 1581 1633 2046 2139 2201 2343 2346 2414 3162 3266 3621 4278 4301 4402 4686 4899 5797 6603 7242 7843 8602 9798 11594 12121 12903 13206 13277 15686 17391 17963 23529 24211 24242 25806 26554 27761 34782 35926 36363 37417 39831 47058 48422 50623 53889 55522 72633 72726 74834 79662 83283 101246 107778 112251 133331 145266 151869 166566 224502 266662 303738 305371 399993 411587 556853 610742 799986 823174 860591 916113 1113706 1234761 1670559 1721182 1832226 2469522 2581773 3341118 5163546 9466501 18933002 28399503 56799006