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148946072 = 23113171769
BaseRepresentation
bin10001110000010…
…11110010011000
3101101021020121012
420320023302120
5301112233242
622440233052
73456010052
oct1070136230
9341236535
10148946072
1177092430
1241a6b788
1324b20292
1415ad28d2
15d122282
hex8e0bc98

148946072 has 64 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 64512000.

The previous prime is 148946069. The next prime is 148946081. The reversal of 148946072 is 270649841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193304 + ... + 194072.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2148946072 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 148946072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

148946072 is an abundant number, since it is smaller than the sum of its proper divisors (170388328).

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

148946072 is a wasteful number, since it uses less digits than its factorization.

148946072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 148946072 is about 12204.3464388717. The cubic root of 148946072 is about 530.0819524394.

The spelling of 148946072 in words is "one hundred forty-eight million, nine hundred forty-six thousand, seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 71 88 124 142 248 284 341 568 682 769 781 1364 1538 1562 2201 2728 3076 3124 4402 6152 6248 8459 8804 16918 17608 23839 24211 33836 47678 48422 54599 67672 95356 96844 109198 190712 193688 218396 262229 436792 524458 600589 1048916 1201178 1692569 2097832 2402356 3385138 4804712 6770276 13540552 18618259 37236518 74473036 148946072