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148884957 = 32132361907
BaseRepresentation
bin10001101111111…
…00110111011101
3101101011010202200
420313330313131
5301103304312
622435042113
73455333634
oct1067746735
9341133680
10148884957
1177050521
1241a40339
1324acb510
1415ab851b
15d10e0dc
hex8dfcddd

148884957 has 48 divisors (see below), whose sum is σ = 245900928. Its totient is φ = 86106240.

The previous prime is 148884949. The next prime is 148884977. The reversal of 148884957 is 759488841.

148884957 is a `hidden beast` number, since 148 + 8 + 8 + 495 + 7 = 666.

It is not a de Polignac number, because 148884957 - 23 = 148884949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148884977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163698 + ... + 164604.

It is an arithmetic number, because the mean of its divisors is an integer number (5122936).

Almost surely, 2148884957 is an apocalyptic number.

It is an amenable number.

148884957 is a deficient number, since it is larger than the sum of its proper divisors (97015971).

148884957 is a wasteful number, since it uses less digits than its factorization.

148884957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 148884957 is about 12201.8423608896. The cubic root of 148884957 is about 530.0094421007.

The spelling of 148884957 in words is "one hundred forty-eight million, eight hundred eighty-four thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 23 39 61 69 117 183 207 299 549 793 897 907 1403 2379 2691 2721 4209 7137 8163 11791 12627 18239 20861 35373 54717 55327 62583 106119 164151 165981 187749 271193 497943 719251 813579 1272521 2157753 2440737 3817563 6473259 11452689 16542773 49628319 148884957