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148076928 = 2732173743
BaseRepresentation
bin10001101001101…
…11100110000000
3101022122002100200
420310313212000
5300401430203
622405445200
73445430106
oct1064674600
9338562320
10148076928
117664942a
1241710800
13248a77ac
1415947c76
15ceee9a3
hex8d37980

148076928 has 96 divisors (see below), whose sum is σ = 429146640. Its totient is φ = 49007616.

The previous prime is 148076917. The next prime is 148076939. The reversal of 148076928 is 829670841.

It is an interprime number because it is at equal distance from previous prime (148076917) and next prime (148076939).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 198925 + ... + 199667.

Almost surely, 2148076928 is an apocalyptic number.

148076928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214573320).

148076928 is an abundant number, since it is smaller than the sum of its proper divisors (281069712).

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

148076928 is a wasteful number, since it uses less digits than its factorization.

148076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 148076928 is about 12168.6863711742. The cubic root of 148076928 is about 529.0488791948.

The spelling of 148076928 in words is "one hundred forty-eight million, seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 288 346 384 519 576 692 743 1038 1152 1384 1486 1557 2076 2229 2768 2972 3114 4152 4458 5536 5944 6228 6687 8304 8916 11072 11888 12456 13374 16608 17832 22144 23776 24912 26748 33216 35664 47552 49824 53496 66432 71328 95104 99648 106992 128539 142656 199296 213984 257078 285312 385617 427968 514156 771234 855936 1028312 1156851 1542468 2056624 2313702 3084936 4113248 4627404 6169872 8226496 9254808 12339744 16452992 18509616 24679488 37019232 49358976 74038464 148076928