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48980352 = 273229557
BaseRepresentation
bin1011101011011…
…0000110000000
310102011110102010
42322312012000
5100014332402
64505452520
71133216601
oct272660600
9112143363
1048980352
1125714733
12144a1140
13a1bc275
14670dda8
154477a6c
hex2eb6180

48980352 has 64 divisors (see below), whose sum is σ = 130906800. Its totient is φ = 16226304.

The previous prime is 48980303. The next prime is 48980353. The reversal of 48980352 is 25308984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 48980352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48980353) by changing a digit.

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, 87658 + ... + 88214.

Almost surely, 248980352 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 48980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65453400).

48980352 is an abundant number, since it is smaller than the sum of its proper divisors (81926448).

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

48980352 is a wasteful number, since it uses less digits than its factorization.

48980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 48980352 is about 6998.5964307138. The cubic root of 48980352 is about 365.8816542332.

The spelling of 48980352 in words is "forty-eight million, nine hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 557 687 916 1114 1374 1671 1832 2228 2748 3342 3664 4456 5496 6684 7328 8912 10992 13368 14656 17824 21984 26736 29312 35648 43968 53472 71296 87936 106944 127553 213888 255106 382659 510212 765318 1020424 1530636 2040848 3061272 4081696 6122544 8163392 12245088 16326784 24490176 48980352