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48970116 = 22331322683
BaseRepresentation
bin1011101011001…
…1100110000100
310102010221101000
42322303212010
5100014020431
64505333300
71133145006
oct272634604
9112127330
1048970116
1125707a78
1214497230
13a1b7700
14670a376
1544749e6
hex2eb3984

48970116 has 72 divisors (see below), whose sum is σ = 137528160. Its totient is φ = 15062112.

The previous prime is 48970109. The next prime is 48970123. The reversal of 48970116 is 61107984.

48970116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48970109) and next prime (48970123).

It is a super-2 number, since 2×489701162 = 4796144522106912, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16911 + ... + 19593.

Almost surely, 248970116 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 48970116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68764080).

48970116 is an abundant number, since it is smaller than the sum of its proper divisors (88558044).

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

48970116 is a wasteful number, since it uses less digits than its factorization.

48970116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 48970116 is about 6997.8651030153. The cubic root of 48970116 is about 365.8561649272.

The spelling of 48970116 in words is "forty-eight million, nine hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2683 3042 4563 5366 6084 8049 9126 10732 16098 18252 24147 32196 34879 48294 69758 72441 96588 104637 139516 144882 209274 289764 313911 418548 453427 627822 906854 941733 1255644 1360281 1813708 1883466 2720562 3766932 4080843 5441124 8161686 12242529 16323372 24485058 48970116