Search a number
-
+
5175072 = 2532717151
BaseRepresentation
bin10011101111011100100000
3100201220212100
4103233130200
52311100242
6302530400
761662450
oct23573440
910656770
105175072
112a15121
121896a00
1310c2696
14989d60
156c354c
hex4ef720

5175072 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1382400.

The previous prime is 5175059. The next prime is 5175097. The reversal of 5175072 is 2705715.

5175072 = T93 + T94 + ... + T316.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34197 + ... + 34347.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25175072 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 5175072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5175072 is an abundant number, since it is smaller than the sum of its proper divisors (12751200).

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

5175072 is a wasteful number, since it uses less digits than its factorization.

5175072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 5175072 is about 2274.8784582918. The cubic root of 5175072 is about 172.9705363747.

The spelling of 5175072 in words is "five million, one hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 151 153 168 204 224 238 252 272 288 302 306 336 357 408 453 476 504 544 604 612 672 714 816 906 952 1008 1057 1071 1208 1224 1359 1428 1632 1812 1904 2016 2114 2142 2416 2448 2567 2718 2856 3171 3624 3808 4228 4284 4832 4896 5134 5436 5712 6342 7248 7701 8456 8568 9513 10268 10872 11424 12684 14496 15402 16912 17136 17969 19026 20536 21744 23103 25368 30804 33824 34272 35938 38052 41072 43488 46206 50736 53907 61608 71876 76104 82144 92412 101472 107814 123216 143752 152208 161721 184824 215628 246432 287504 304416 323442 369648 431256 575008 646884 739296 862512 1293768 1725024 2587536 5175072