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48951552 = 283134903
BaseRepresentation
bin1011101010111…
…1000100000000
310102002222220110
42322233010000
5100012422202
64505111320
71133036616
oct272570400
9112088813
1048951552
11256a5031
1214488540
13a1ac120
1467036b6
15446e26c
hex2eaf100

48951552 has 72 divisors (see below), whose sum is σ = 140332864. Its totient is φ = 15058944.

The previous prime is 48951547. The next prime is 48951563. The reversal of 48951552 is 25515984.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48951552.

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 7 ways as a sum of consecutive naturals, for example, 7533 + ... + 12435.

Almost surely, 248951552 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 48951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70166432).

48951552 is an abundant number, since it is smaller than the sum of its proper divisors (91381312).

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

48951552 is a wasteful number, since it uses less digits than its factorization.

48951552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4921 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 48951552 is about 6996.5385727515. The cubic root of 48951552 is about 365.8099284820.

The spelling of 48951552 in words is "forty-eight million, nine hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4903 4992 9806 9984 14709 19612 29418 39224 58836 63739 78448 117672 127478 156896 191217 235344 254956 313792 382434 470688 509912 627584 764868 941376 1019824 1255168 1529736 1882752 2039648 3059472 3765504 4079296 6118944 8158592 12237888 16317184 24475776 48951552