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48368632 = 23132373277
BaseRepresentation
bin1011100010000…
…0101111111000
310101000101021211
42320200233320
544340244012
64444412504
71125061264
oct270405770
9111011254
1048368632
1125337084
1214247134
13a0369c0
1465d10a4
1543a66a7
hex2e20bf8

48368632 has 64 divisors (see below), whose sum is σ = 103682880. Its totient is φ = 20984832.

The previous prime is 48368629. The next prime is 48368653. The reversal of 48368632 is 23686384.

48368632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 174478 + ... + 174754.

It is an arithmetic number, because the mean of its divisors is an integer number (1620045).

Almost surely, 248368632 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 48368632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51841440).

48368632 is an abundant number, since it is smaller than the sum of its proper divisors (55314248).

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

48368632 is a wasteful number, since it uses less digits than its factorization.

48368632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 48368632 is about 6954.7560704887. The cubic root of 48368632 is about 364.3520925965.

The spelling of 48368632 in words is "forty-eight million, three hundred sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 73 92 104 146 184 277 292 299 554 584 598 949 1108 1196 1679 1898 2216 2392 3358 3601 3796 6371 6716 7202 7592 12742 13432 14404 20221 21827 25484 28808 40442 43654 50968 80884 82823 87308 161768 165646 174616 262873 331292 465083 525746 662584 930166 1051492 1860332 2102984 3720664 6046079 12092158 24184316 48368632