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48410752 = 271347619
BaseRepresentation
bin1011100010101…
…1000010000000
310101002112001211
42320223002000
544343121002
64445335504
71125325135
oct270530200
9111075054
1048410752
1125365795
1214267594
13a04cc20
14660258c
1543b3dd7
hex2e2b080

48410752 has 64 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 21832704.

The previous prime is 48410743. The next prime is 48410767. The reversal of 48410752 is 25701484.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77899 + ... + 78517.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 248410752 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 48410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

48410752 is an abundant number, since it is smaller than the sum of its proper divisors (57832448).

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

48410752 is a wasteful number, since it uses less digits than its factorization.

48410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 48410752 is about 6957.7835551273. The cubic root of 48410752 is about 364.4578226741.

It can be divided in two parts, 484 and 10752, that added together give a square (11236 = 1062).

The spelling of 48410752 in words is "forty-eight million, four hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 619 752 832 1222 1238 1504 1664 2444 2476 3008 4888 4952 6016 8047 9776 9904 16094 19552 19808 29093 32188 39104 39616 58186 64376 78208 79232 116372 128752 232744 257504 378209 465488 515008 756418 930976 1030016 1512836 1861952 3025672 3723904 6051344 12102688 24205376 48410752