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48405924 = 2234723049
BaseRepresentation
bin1011100010100…
…1110110100100
310101002021110000
42320221312210
544342442144
64445301300
71125305100
oct270516644
9111067400
1048405924
11253620a6
1214264830
13a04a978
146600900
1543b2769
hex2e29da4

48405924 has 90 divisors (see below), whose sum is σ = 147250950. Its totient is φ = 13825728.

The previous prime is 48405881. The next prime is 48405937. The reversal of 48405924 is 42950484.

48405924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 16257024 = 5670^2 + 4032^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 14352 + ... + 17400.

Almost surely, 248405924 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 48405924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73625475).

48405924 is an abundant number, since it is smaller than the sum of its proper divisors (98845026).

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

48405924 is a wasteful number, since it uses less digits than its factorization.

48405924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48405924 is about 6957.4365969084. The cubic root of 48405924 is about 364.4457064892.

The spelling of 48405924 in words is "forty-eight million, four hundred five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3049 3969 5292 6098 7938 9147 12196 15876 18294 21343 27441 36588 42686 54882 64029 82323 85372 109764 128058 149401 164646 192087 246969 256116 298802 329292 384174 448203 493938 576261 597604 768348 896406 987876 1152522 1344609 1728783 1792812 2305044 2689218 3457566 4033827 5378436 6915132 8067654 12101481 16135308 24202962 48405924