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48235872 = 253618237
BaseRepresentation
bin1011100000000…
…0010101100000
310100202122011210
42320000111200
544322021442
64441510120
71123666236
oct270002540
9110678153
1048235872
1125256363
12141a2340
139cbb449
146598956
15437c19c
hex2e00560

48235872 has 48 divisors (see below), whose sum is σ = 128710512. Its totient is φ = 15813120.

The previous prime is 48235871. The next prime is 48235937. The reversal of 48235872 is 27853284.

48235872 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48235872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48235871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (2681469).

Almost surely, 248235872 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 48235872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64355256).

48235872 is an abundant number, since it is smaller than the sum of its proper divisors (80474640).

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

48235872 is a wasteful number, since it uses less digits than its factorization.

48235872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8303 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 48235872 is about 6945.2049645781. The cubic root of 48235872 is about 364.0184348430.

The spelling of 48235872 in words is "forty-eight million, two hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 8237 16474 24711 32948 49422 65896 98844 131792 197688 263584 395376 502457 790752 1004914 1507371 2009828 3014742 4019656 6029484 8039312 12058968 16078624 24117936 48235872