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48125792 = 2511132809
BaseRepresentation
bin1011011110010…
…1011101100000
310100120001011202
42313211131200
544310011132
64435300332
71123030301
oct267453540
9110501152
1048125792
1125190690
121414a6a8
139c80300
14656a7a8
154359762
hex2de5760

48125792 has 72 divisors (see below), whose sum is σ = 112061880. Its totient is φ = 20167680.

The previous prime is 48125783. The next prime is 48125809. The reversal of 48125792 is 29752184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59084 + ... + 59892.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 248125792 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 48125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56030940).

48125792 is an abundant number, since it is smaller than the sum of its proper divisors (63936088).

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

48125792 is a wasteful number, since it uses less digits than its factorization.

48125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 48125792 is about 6937.2755459186. The cubic root of 48125792 is about 363.7413127986.

The spelling of 48125792 in words is "forty-eight million, one hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 809 1144 1352 1618 1859 2288 2704 3236 3718 4576 5408 6472 7436 8899 10517 12944 14872 17798 21034 25888 29744 35596 42068 59488 71192 84136 115687 136721 142384 168272 231374 273442 284768 336544 462748 546884 925496 1093768 1503931 1850992 2187536 3007862 3701984 4375072 6015724 12031448 24062896 48125792