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148938432 = 26323291163
BaseRepresentation
bin10001110000010…
…01111011000000
3101101020212010020
420320021323000
5301112012212
622440133440
73455645556
oct1070117300
9341225106
10148938432
1177087715
1241a67280
1324b19966
1415acdbd6
15d11ed8c
hex8e09ec0

148938432 has 112 divisors (see below), whose sum is σ = 425744640. Its totient is φ = 45810688.

The previous prime is 148938421. The next prime is 148938487. The reversal of 148938432 is 234839841.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127483 + ... + 128645.

Almost surely, 2148938432 is an apocalyptic number.

148938432 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 148938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212872320).

148938432 is an abundant number, since it is smaller than the sum of its proper divisors (276806208).

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

148938432 is a wasteful number, since it uses less digits than its factorization.

148938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1220 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 148938432 is about 12204.0334316160. The cubic root of 148938432 is about 530.0728889905.

The spelling of 148938432 in words is "one hundred forty-eight million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 368 464 552 667 696 736 928 1104 1163 1334 1392 1472 1856 2001 2208 2326 2668 2784 3489 4002 4416 4652 5336 5568 6978 8004 9304 10672 13956 16008 18608 21344 26749 27912 32016 33727 37216 42688 53498 55824 64032 67454 74432 80247 101181 106996 111648 128064 134908 160494 202362 213992 223296 269816 320988 404724 427984 539632 641976 775721 809448 855968 1079264 1283952 1551442 1618896 1711936 2158528 2327163 2567904 3102884 3237792 4654326 5135808 6205768 6475584 9308652 12411536 18617304 24823072 37234608 49646144 74469216 148938432