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48790152 = 23321733917
BaseRepresentation
bin1011101000011…
…1101010001000
310101210210111200
42322013222020
544442241102
64501424200
71131465225
oct272075210
9111723450
1048790152
11255a4844
121440b060
13a153818
1466a094c
15443b51c
hex2e87a88

48790152 has 48 divisors (see below), whose sum is σ = 132937740. Its totient is φ = 16165248.

The previous prime is 48790129. The next prime is 48790169. The reversal of 48790152 is 25109784.

It can be written as a sum of positive squares in 2 ways, for example, as 41139396 + 7650756 = 6414^2 + 2766^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10498 + ... + 14414.

Almost surely, 248790152 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 48790152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66468870).

48790152 is an abundant number, since it is smaller than the sum of its proper divisors (84147588).

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

48790152 is a wasteful number, since it uses less digits than its factorization.

48790152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48790152 is about 6984.9947745149. The cubic root of 48790152 is about 365.4074439252.

The spelling of 48790152 in words is "forty-eight million, seven hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 3917 4152 6228 7834 11751 12456 15668 23502 31336 35253 47004 70506 94008 141012 282024 677641 1355282 2032923 2710564 4065846 5421128 6098769 8131692 12197538 16263384 24395076 48790152