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5077152 = 253217261
BaseRepresentation
bin10011010111100010100000
3100112221112200
4103113202200
52244432102
6300453200
761104123
oct23274240
910487480
105077152
1129585a3
12184a200
131089c42
149623ba
156a451c
hex4d78a0

5077152 has 108 divisors (see below), whose sum is σ = 15588846. Its totient is φ = 1566720.

The previous prime is 5077151. The next prime is 5077157. The reversal of 5077152 is 2517705.

5077152 is a `hidden beast` number, since 507 + 7 + 152 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4309776 + 767376 = 2076^2 + 876^2 .

It is a super-2 number, since 2×50771522 = 51554944862208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5077151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83202 + ... + 83262.

Almost surely, 25077152 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 5077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794423).

5077152 is an abundant number, since it is smaller than the sum of its proper divisors (10511694).

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

5077152 is a wasteful number, since it uses less digits than its factorization.

5077152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

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

The square root of 5077152 is about 2253.2536475062. The cubic root of 5077152 is about 171.8726296973.

The spelling of 5077152 in words is "five million, seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 183 204 244 272 288 289 306 366 408 488 544 549 578 612 732 816 867 976 1037 1098 1156 1224 1464 1632 1734 1952 2074 2196 2312 2448 2601 2928 3111 3468 4148 4392 4624 4896 5202 5856 6222 6936 8296 8784 9248 9333 10404 12444 13872 16592 17568 17629 18666 20808 24888 27744 33184 35258 37332 41616 49776 52887 70516 74664 83232 99552 105774 141032 149328 158661 211548 282064 298656 317322 423096 564128 634644 846192 1269288 1692384 2538576 5077152