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48039732 = 223213234463
BaseRepresentation
bin1011011101000…
…0011100110100
310100101200010100
42313100130310
544244232412
64433354100
71122221346
oct267203464
9110350110
1048039732
1125131a64
1214108930
139c500a0
146547296
15433dedc
hex2dd0734

48039732 has 72 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 14135616.

The previous prime is 48039703. The next prime is 48039743. The reversal of 48039732 is 23793084.

48039732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8533 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 248039732 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 48039732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

48039732 is an abundant number, since it is smaller than the sum of its proper divisors (88451532).

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

48039732 is a wasteful number, since it uses less digits than its factorization.

48039732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 48039732 is about 6931.0700472582. The cubic root of 48039732 is about 363.5243656830.

It can be divided in two parts, 4803 and 9732, that added together give a triangular number (14535 = T170).

The spelling of 48039732 in words is "forty-eight million, thirty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 4463 5382 8926 10764 13389 17852 26778 40167 53556 58019 80334 102649 116038 160668 174057 205298 232076 307947 348114 410596 522171 615894 696228 923841 1044342 1231788 1334437 1847682 2088684 2668874 3695364 4003311 5337748 8006622 12009933 16013244 24019866 48039732