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56153034 = 2337149997
BaseRepresentation
bin1101011000110…
…1001111001010
310220122212111000
43112031033022
5103333344114
65323315430
71251202320
oct326151712
9126585430
1056153034
1129773673
121697bb76
13b830c62
147659d10
154de2e09
hex358d3ca

56153034 has 64 divisors (see below), whose sum is σ = 143712000. Its totient is φ = 15920064.

The previous prime is 56153017. The next prime is 56153047. The reversal of 56153034 is 43035165.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56152989 and 56153007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55824 + ... + 56820.

It is an arithmetic number, because the mean of its divisors is an integer number (2245500).

Almost surely, 256153034 is an apocalyptic number.

56153034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56153034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71856000).

56153034 is an abundant number, since it is smaller than the sum of its proper divisors (87558966).

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

56153034 is a wasteful number, since it uses less digits than its factorization.

56153034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56153034 is about 7493.5328116984. The cubic root of 56153034 is about 382.9344237566.

Adding to 56153034 its reverse (43035165), we get a palindrome (99188199).

It can be divided in two parts, 5615 and 3034, that added together give a square (8649 = 932).

The spelling of 56153034 in words is "fifty-six million, one hundred fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 997 1043 1341 1994 2086 2682 2991 3129 4023 5982 6258 6979 8046 8973 9387 13958 17946 18774 20937 26919 28161 41874 53838 56322 62811 125622 148553 188433 297106 376866 445659 891318 1039871 1336977 2079742 2673954 3119613 4010931 6239226 8021862 9358839 18717678 28076517 56153034