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52728576 = 28371967
BaseRepresentation
bin1100100100100…
…1001100000000
310200012220000020
43021021030000
5101444303301
65122053440
71210120425
oct311111400
9120186006
1052728576
112784483a
12157aa280
13ac02354
147007d4c
154968436
hex3249300

52728576 has 72 divisors (see below), whose sum is σ = 142458624. Its totient is φ = 17310720.

The previous prime is 52728563. The next prime is 52728593. The reversal of 52728576 is 67582725.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54045 + ... + 55011.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 252728576 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 52728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71229312).

52728576 is an abundant number, since it is smaller than the sum of its proper divisors (89730048).

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

52728576 is an equidigital number, since it uses as much as digits as its factorization.

52728576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 52728576 is about 7261.4444843984. Note that the first 4 decimals coincide. The cubic root of 52728576 is about 374.9862537183.

It can be divided in two parts, 52728 and 576, that multiplied together give a cube (30371328 = 3123).

The spelling of 52728576 in words is "fifty-two million, seven hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 967 1136 1704 1934 2272 2901 3408 3868 4544 5802 6816 7736 9088 11604 13632 15472 18176 23208 27264 30944 46416 54528 61888 68657 92832 123776 137314 185664 205971 247552 274628 371328 411942 549256 742656 823884 1098512 1647768 2197024 3295536 4394048 6591072 8788096 13182144 17576192 26364288 52728576