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148959972 = 2235721893
BaseRepresentation
bin10001110000011…
…11001011100100
3101101021221200000
420320033023210
5301113204342
622440421300
73456065430
oct1070171344
9341257600
10148959972
11770a1917
1241a77830
1324b266c5
1415ad79c0
15d12644c
hex8e0f2e4

148959972 has 72 divisors (see below), whose sum is σ = 446287296. Its totient is φ = 42558048.

The previous prime is 148959971. The next prime is 148959977. The reversal of 148959972 is 279959841.

148959972 is a `hidden beast` number, since 1 + 48 + 9 + 599 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148959971) by changing a digit.

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, 4143 + ... + 17750.

Almost surely, 2148959972 is an apocalyptic number.

148959972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148959972 is an abundant number, since it is smaller than the sum of its proper divisors (297327324).

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

148959972 is a wasteful number, since it uses less digits than its factorization.

148959972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21919 (or 21905 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 148959972 is about 12204.9158948352. The cubic root of 148959972 is about 530.0984414273.

The spelling of 148959972 in words is "one hundred forty-eight million, nine hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 21893 43786 65679 87572 131358 153251 197037 262716 306502 394074 459753 591111 613004 788148 919506 1182222 1379259 1773333 1839012 2364444 2758518 3546666 4137777 5319999 5517036 7093332 8275554 10639998 12413331 16551108 21279996 24826662 37239993 49653324 74479986 148959972