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48320272 = 24721113431
BaseRepresentation
bin1011100001010…
…0111100010000
310100220220221201
42320110330100
544332222042
64443400544
71124500300
oct270247420
9110826851
1048320272
1125303810
1214223154
13a01a9a0
1465bb600
1543971b7
hex2e14f10

48320272 has 120 divisors (see below), whose sum is σ = 128241792. Its totient is φ = 17337600.

The previous prime is 48320243. The next prime is 48320297. The reversal of 48320272 is 27202384.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 48320272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111897 + ... + 112327.

Almost surely, 248320272 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 48320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

48320272 is an abundant number, since it is smaller than the sum of its proper divisors (79921520).

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

48320272 is a wasteful number, since it uses less digits than its factorization.

48320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 48320272 is about 6951.2784435671. The cubic root of 48320272 is about 364.2306230818.

The spelling of 48320272 in words is "forty-eight million, three hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 431 539 572 616 637 728 784 862 1001 1078 1144 1232 1274 1456 1724 2002 2156 2288 2548 3017 3448 4004 4312 4741 5096 5603 6034 6896 7007 8008 8624 9482 10192 11206 12068 14014 16016 18964 21119 22412 24136 28028 33187 37928 39221 42238 44824 48272 56056 61633 66374 75856 78442 84476 89648 112112 123266 132748 156884 168952 232309 246532 265496 274547 313768 337904 431431 464618 493064 530992 549094 627536 862862 929236 986128 1098188 1725724 1858472 2196376 3020017 3451448 3716944 4392752 6040034 6902896 12080068 24160136 48320272