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48972252 = 22371793257
BaseRepresentation
bin1011101011010…
…0000111011100
310102011001022010
42322310013130
5100014103002
64505351220
71133154150
oct272640734
9112131263
1048972252
112570963a
1214498510
13a1b8684
14670b060
15447546c
hex2eb41dc

48972252 has 48 divisors (see below), whose sum is σ = 131362560. Its totient is φ = 13909632.

The previous prime is 48972251. The next prime is 48972263. The reversal of 48972252 is 25227984.

It is a self number, because there is not a number n which added to its sum of digits gives 48972252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48972251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13408 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (2736720).

Almost surely, 248972252 is an apocalyptic number.

48972252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48972252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65681280).

48972252 is an abundant number, since it is smaller than the sum of its proper divisors (82390308).

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

48972252 is a wasteful number, since it uses less digits than its factorization.

48972252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3448 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 48972252 is about 6998.0177193260. The cubic root of 48972252 is about 365.8614842081.

The spelling of 48972252 in words is "forty-eight million, nine hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3257 3759 5012 6514 7518 9771 13028 15036 19542 22799 39084 45598 68397 91196 136794 273588 583003 1166006 1749009 2332012 3498018 4081021 6996036 8162042 12243063 16324084 24486126 48972252