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5072544 = 253419103
BaseRepresentation
bin10011010110011010100000
3100112201020000
4103112122200
52244310134
6300420000
761054521
oct23263240
910481200
105072544
112955094
121847600
131087b09
14960848
156a2e99
hex4d66a0

5072544 has 120 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 1586304.

The previous prime is 5072539. The next prime is 5072603. The reversal of 5072544 is 4452705.

5072544 is a `hidden beast` number, since 50 + 72 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49197 + ... + 49299.

It is an arithmetic number, because the mean of its divisors is an integer number (132132).

Almost surely, 25072544 is an apocalyptic number.

5072544 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 5072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927920).

5072544 is an abundant number, since it is smaller than the sum of its proper divisors (10783296).

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

5072544 is a wasteful number, since it uses less digits than its factorization.

5072544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5072544 is about 2252.2308940249. The cubic root of 5072544 is about 171.8206170204.

The spelling of 5072544 in words is "five million, seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 103 108 114 144 152 162 171 206 216 228 288 304 309 324 342 412 432 456 513 608 618 648 684 824 864 912 927 1026 1236 1296 1368 1539 1648 1824 1854 1957 2052 2472 2592 2736 2781 3078 3296 3708 3914 4104 4944 5472 5562 5871 6156 7416 7828 8208 8343 9888 11124 11742 12312 14832 15656 16416 16686 17613 22248 23484 24624 29664 31312 33372 35226 44496 46968 49248 52839 62624 66744 70452 88992 93936 105678 133488 140904 158517 187872 211356 266976 281808 317034 422712 563616 634068 845424 1268136 1690848 2536272 5072544