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81808056 = 23341123499
BaseRepresentation
bin1001110000001…
…00101010111000
312200221021120000
410320010222320
5131420324211
612041233000
72012233311
oct470045270
9180837500
1081808056
11421a6670
1223492760
1313c44345
14ac17608
1572ae656
hex4e04ab8

81808056 has 160 divisors (see below), whose sum is σ = 261360000. Its totient is φ = 23664960.

The previous prime is 81808049. The next prime is 81808057. The reversal of 81808056 is 65080818.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81808056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81808057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163695 + ... + 164193.

It is an arithmetic number, because the mean of its divisors is an integer number (1633500).

Almost surely, 281808056 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 81808056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680000).

81808056 is an abundant number, since it is smaller than the sum of its proper divisors (179551944).

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

81808056 is a wasteful number, since it uses less digits than its factorization.

81808056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 81808056 is about 9044.7805943539. The cubic root of 81808056 is about 434.1089011547.

The spelling of 81808056 in words is "eighty-one million, eight hundred eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 198 207 216 253 264 276 297 324 396 414 499 506 552 594 621 648 759 792 828 891 998 1012 1188 1242 1497 1518 1656 1782 1863 1996 2024 2277 2376 2484 2994 3036 3564 3726 3992 4491 4554 4968 5489 5988 6072 6831 7128 7452 8982 9108 10978 11477 11976 13473 13662 14904 16467 17964 18216 20493 21956 22954 26946 27324 32934 34431 35928 40419 40986 43912 45908 49401 53892 54648 65868 68862 80838 81972 91816 98802 103293 107784 126247 131736 137724 148203 161676 163944 197604 206586 252494 275448 296406 309879 323352 378741 395208 413172 444609 504988 592812 619758 757482 826344 889218 929637 1009976 1136223 1185624 1239516 1514964 1778436 1859274 2272446 2479032 3029928 3408669 3556872 3718548 4544892 6817338 7437096 9089784 10226007 13634676 20452014 27269352 40904028 81808056