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148643352 = 2332111314437
BaseRepresentation
bin10001101110000…
…01111000011000
3101100200212100100
420313001320120
5301023041402
622425535400
73453306354
oct1067017030
9340625310
10148643352
11769a5a50
1241944560
1324a45560
1415a54464
15d0b271c
hex8dc1e18

148643352 has 96 divisors (see below), whose sum is σ = 472988880. Its totient is φ = 41575680.

The previous prime is 148643351. The next prime is 148643371. The reversal of 148643352 is 253346841.

148643352 is a `hidden beast` number, since 1 + 4 + 8 + 643 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148643351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3078 + ... + 17514.

Almost surely, 2148643352 is an apocalyptic number.

148643352 is a gapful number since it is divisible by the number (12) 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 148643352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236494440).

148643352 is an abundant number, since it is smaller than the sum of its proper divisors (324345528).

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

148643352 is a wasteful number, since it uses less digits than its factorization.

148643352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14473 (or 14466 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 148643352 is about 12191.9379919683. The cubic root of 148643352 is about 529.7225936443.

The spelling of 148643352 in words is "one hundred forty-eight million, six hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 14437 28874 43311 57748 86622 115496 129933 158807 173244 187681 259866 317614 346488 375362 476421 519732 563043 635228 750724 952842 1039464 1126086 1270456 1429263 1501448 1689129 1905684 2064491 2252172 2858526 3378258 3811368 4128982 4504344 5717052 6193473 6756516 8257964 11434104 12386946 13513032 16515928 18580419 24773892 37160838 49547784 74321676 148643352