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5274624 = 210317101
BaseRepresentation
bin10100000111110000000000
3100220222102110
4110013300000
52322241444
6305015320
762555625
oct24076000
910828373
105274624
112a829a3
121924540
131128aa4
149b434c
156e2cb9
hex507c00

5274624 has 88 divisors (see below), whose sum is σ = 15033168. Its totient is φ = 1638400.

The previous prime is 5274623. The next prime is 5274629. The reversal of 5274624 is 4264725.

It is a junction number, because it is equal to n+sod(n) for n = 5274591 and 5274600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5274623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52174 + ... + 52274.

Almost surely, 25274624 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 5274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516584).

5274624 is an abundant number, since it is smaller than the sum of its proper divisors (9758544).

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

5274624 is a wasteful number, since it uses less digits than its factorization.

5274624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 5274624 is about 2296.6549588478. The cubic root of 5274624 is about 174.0726344923.

It can be divided in two parts, 527 and 4624, that added together give a triangular number (5151 = T101).

The spelling of 5274624 in words is "five million, two hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 128 136 192 202 204 256 272 303 384 404 408 512 544 606 768 808 816 1024 1088 1212 1536 1616 1632 1717 2176 2424 3072 3232 3264 3434 4352 4848 5151 6464 6528 6868 8704 9696 10302 12928 13056 13736 17408 19392 20604 25856 26112 27472 38784 41208 51712 52224 54944 77568 82416 103424 109888 155136 164832 219776 310272 329664 439552 659328 879104 1318656 1758208 2637312 5274624