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52562500 = 2256292
BaseRepresentation
bin1100100010000…
…0101001000100
310122220110012021
43020200221010
5101424000000
65114332524
71205526304
oct310405104
9118813167
1052562500
1127740a91
121572a144
13ab74893
146da3604
15493411a
hex3220a44

52562500 has 63 divisors (see below), whose sum is σ = 119080507. Its totient is φ = 20300000.

The previous prime is 52562483. The next prime is 52562509. The reversal of 52562500 is 526525.

The square root of 52562500 is 7250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 44542276 + 8020224 = 6674^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52562509) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1812486 + ... + 1812514.

Almost surely, 252562500 is an apocalyptic number.

52562500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52562500 is the 7250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52562500

52562500 is an abundant number, since it is smaller than the sum of its proper divisors (66518007).

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

52562500 is an frugal number, since it uses more digits than its factorization.

52562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The cubic root of 52562500 is about 374.5921491739.

Multiplying 52562500 by its sum of digits (25), we get a square (1314062500 = 362502).

52562500 divided by its sum of digits (25) gives a square (2102500 = 14502).

The spelling of 52562500 in words is "fifty-two million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 841 1250 1450 1682 2500 2900 3125 3364 3625 4205 6250 7250 8410 12500 14500 15625 16820 18125 21025 31250 36250 42050 62500 72500 84100 90625 105125 181250 210250 362500 420500 453125 525625 906250 1051250 1812500 2102500 2628125 5256250 10512500 13140625 26281250 52562500