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55726704 = 2435111303
BaseRepresentation
bin1101010010010…
…1001001110000
310212212012200000
43110211021300
5103231223304
65310230000
71244445345
oct324451160
9125765600
1055726704
1129502330
12167b5300
13b711ba7
1475887cc
154d5b939
hex3525270

55726704 has 120 divisors (see below), whose sum is σ = 176572032. Its totient is φ = 16873920.

The previous prime is 55726703. The next prime is 55726709. The reversal of 55726704 is 40762755.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55726703) 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 23 ways as a sum of consecutive naturals, for example, 42117 + ... + 43419.

Almost surely, 255726704 is an apocalyptic number.

55726704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55726704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88286016).

55726704 is an abundant number, since it is smaller than the sum of its proper divisors (120845328).

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

55726704 is a wasteful number, since it uses less digits than its factorization.

55726704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 55726704 is about 7465.0320829853. The cubic root of 55726704 is about 381.9628446268.

It can be divided in two parts, 557 and 26704, that added together give a triangular number (27261 = T233).

The spelling of 55726704 in words is "fifty-five million, seven hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1303 1584 1782 1944 2376 2606 2673 3564 3888 3909 4752 5212 5346 7128 7818 10424 10692 11727 14256 14333 15636 20848 21384 23454 28666 31272 35181 42768 42999 46908 57332 62544 70362 85998 93816 105543 114664 128997 140724 171996 187632 211086 229328 257994 281448 316629 343992 386991 422172 515988 562896 633258 687984 773982 844344 1031976 1160973 1266516 1547964 1688688 2063952 2321946 2533032 3095928 3482919 4643892 5066064 6191856 6965838 9287784 13931676 18575568 27863352 55726704