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48412364 = 2271113107113
BaseRepresentation
bin1011100010101…
…1011011001100
310101002121021112
42320223123030
544343143424
64445351152
71125332630
oct270533314
9111077245
1048412364
1125366a20
12142684b8
13a050890
146602dc0
1543b460e
hex2e2b6cc

48412364 has 96 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 17095680.

The previous prime is 48412337. The next prime is 48412387. The reversal of 48412364 is 46321484.

It is a self number, because there is not a number n which added to its sum of digits gives 48412364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428372 + ... + 428484.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 248412364 is an apocalyptic number.

48412364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48412364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

48412364 is an abundant number, since it is smaller than the sum of its proper divisors (67418932).

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

48412364 is a wasteful number, since it uses less digits than its factorization.

48412364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 48412364 is about 6957.8993956510. The cubic root of 48412364 is about 364.4618679152.

The spelling of 48412364 in words is "forty-eight million, four hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 107 113 143 154 182 214 226 286 308 364 428 452 572 749 791 1001 1177 1243 1391 1469 1498 1582 2002 2354 2486 2782 2938 2996 3164 4004 4708 4972 5564 5876 8239 8701 9737 10283 12091 15301 16159 16478 17402 19474 20566 24182 30602 32318 32956 34804 38948 41132 48364 61204 64636 84637 107107 113113 133001 157183 169274 214214 226226 266002 314366 338548 428428 452452 532004 628732 931007 1100281 1729013 1862014 2200562 3458026 3724028 4401124 6916052 12103091 24206182 48412364