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5175144 = 2333131997
BaseRepresentation
bin10011101111011101101000
3100201220222000
4103233131220
52311101034
6302531000
761662612
oct23573550
910656860
105175144
112a15187
121896a60
1310c2720
14989db2
156c3599
hex4ef768

5175144 has 128 divisors (see below), whose sum is σ = 16464000. Its totient is φ = 1492992.

The previous prime is 5175103. The next prime is 5175187. The reversal of 5175144 is 4415715.

It is a happy number.

5175144 is a `hidden beast` number, since 517 + 5 + 144 = 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 31 ways as a sum of consecutive naturals, for example, 53304 + ... + 53400.

It is an arithmetic number, because the mean of its divisors is an integer number (128625).

Almost surely, 25175144 is an apocalyptic number.

5175144 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 5175144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232000).

5175144 is an abundant number, since it is smaller than the sum of its proper divisors (11288856).

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

5175144 is a wasteful number, since it uses less digits than its factorization.

5175144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 5175144 is about 2274.8942832580. The cubic root of 5175144 is about 172.9713385421.

The spelling of 5175144 in words is "five million, one hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 97 104 108 114 117 152 156 171 194 216 228 234 247 291 312 342 351 388 456 468 494 513 582 684 702 741 776 873 936 988 1026 1164 1261 1368 1404 1482 1746 1843 1976 2052 2223 2328 2522 2619 2808 2964 3492 3686 3783 4104 4446 5044 5238 5529 5928 6669 6984 7372 7566 8892 10088 10476 11058 11349 13338 14744 15132 16587 17784 20952 22116 22698 23959 26676 30264 33174 34047 44232 45396 47918 49761 53352 66348 68094 71877 90792 95836 99522 132696 136188 143754 191672 199044 215631 272376 287508 398088 431262 575016 646893 862524 1293786 1725048 2587572 5175144