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48940752 = 24371131289
BaseRepresentation
bin1011101010110…
…0011011010000
310102002110002110
42322230123100
5100012101002
64504545320
71132663260
oct272543320
9112073073
1048940752
1125697a03
1214482240
13a1a7233
1466dd7a0
15446ae6c
hex2eac6d0

48940752 has 80 divisors (see below), whose sum is σ = 145883520. Its totient is φ = 13848576.

The previous prime is 48940741. The next prime is 48940769. The reversal of 48940752 is 25704984.

48940752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48940752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37324 + ... + 38612.

It is an arithmetic number, because the mean of its divisors is an integer number (1823544).

Almost surely, 248940752 is an apocalyptic number.

48940752 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 48940752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72941760).

48940752 is an abundant number, since it is smaller than the sum of its proper divisors (96942768).

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

48940752 is a wasteful number, since it uses less digits than its factorization.

48940752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

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

The square root of 48940752 is about 6995.7667199529. The cubic root of 48940752 is about 365.7830240725.

The spelling of 48940752 in words is "forty-eight million, nine hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1289 1356 1582 1808 2373 2578 2712 3164 3867 4746 5156 5424 6328 7734 9023 9492 10312 12656 15468 18046 18984 20624 27069 30936 36092 37968 54138 61872 72184 108276 144368 145657 216552 291314 433104 436971 582628 873942 1019599 1165256 1747884 2039198 2330512 3058797 3495768 4078396 6117594 6991536 8156792 12235188 16313584 24470376 48940752