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48424272 = 24313711093
BaseRepresentation
bin1011100010111…
…0010101010000
310101010012121120
42320232111100
544344034042
64445522240
71125412431
oct270562520
9111105546
1048424272
1125374966
1214273380
13a056120
146607488
1543b7dec
hex2e2e550

48424272 has 80 divisors (see below), whose sum is σ = 136741248. Its totient is φ = 14676480.

The previous prime is 48424261. The next prime is 48424273. The reversal of 48424272 is 27242484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48424273) 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, 43758 + ... + 44850.

Almost surely, 248424272 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 48424272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68370624).

48424272 is an abundant number, since it is smaller than the sum of its proper divisors (88316976).

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

48424272 is a wasteful number, since it uses less digits than its factorization.

48424272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 48424272 is about 6958.7550610723. The cubic root of 48424272 is about 364.4917477212.

The spelling of 48424272 in words is "forty-eight million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1093 1136 1704 1846 2186 2769 3279 3408 3692 4372 5538 6558 7384 8744 11076 13116 14209 14768 17488 22152 26232 28418 42627 44304 52464 56836 77603 85254 113672 155206 170508 227344 232809 310412 341016 465618 620824 682032 931236 1008839 1241648 1862472 2017678 3026517 3724944 4035356 6053034 8070712 12106068 16141424 24212136 48424272