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148144644 = 223229413461
BaseRepresentation
bin10001101010010…
…00001000000100
3101022202112020200
420311020020010
5300411112034
622411130500
73446131404
oct1065101004
9338675220
10148144644
117669529a
1241743a30
13248cc56b
1415964804
15d014a99
hex8d48204

148144644 has 72 divisors (see below), whose sum is σ = 396952920. Its totient is φ = 46502400.

The previous prime is 148144627. The next prime is 148144663. The reversal of 148144644 is 446441841.

148144644 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 4 + 4 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 147914244 = 480^2 + 12162^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 148144599 and 148144608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41074 + ... + 44534.

It is an arithmetic number, because the mean of its divisors is an integer number (5513235).

Almost surely, 2148144644 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 148144644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198476460).

148144644 is an abundant number, since it is smaller than the sum of its proper divisors (248808276).

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

148144644 is a wasteful number, since it uses less digits than its factorization.

148144644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3536 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 148144644 is about 12171.4684405786. The cubic root of 148144644 is about 529.1295120902.

The spelling of 148144644 in words is "one hundred forty-eight million, one hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 246 261 348 369 492 522 738 1044 1189 1476 2378 3461 3567 4756 6922 7134 10383 10701 13844 14268 20766 21402 31149 41532 42804 62298 100369 124596 141901 200738 283802 301107 401476 425703 567604 602214 851406 903321 1204428 1277109 1702812 1806642 2554218 3613284 4115129 5108436 8230258 12345387 16460516 24690774 37036161 49381548 74072322 148144644