Search a number
-
+
148688832 = 2631940759
BaseRepresentation
bin10001101110011…
…00111111000000
3101100210011201210
420313030333000
5301031020312
622430530120
73453556065
oct1067147700
9340704653
10148688832
1176a27136
1241966940
1324a60176
1415a66c6c
15d0c0e3c
hex8dccfc0

148688832 has 56 divisors (see below), whose sum is σ = 414121600. Its totient is φ = 46953216.

The previous prime is 148688819. The next prime is 148688849. The reversal of 148688832 is 238886841.

148688832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16732 + ... + 24027.

Almost surely, 2148688832 is an apocalyptic number.

148688832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148688832 is an abundant number, since it is smaller than the sum of its proper divisors (265432768).

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

148688832 is a wasteful number, since it uses less digits than its factorization.

148688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40793 (or 40783 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 148688832 is about 12193.8030162866. The cubic root of 148688832 is about 529.7766140597.

The spelling of 148688832 in words is "one hundred forty-eight million, six hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 40759 81518 122277 163036 244554 326072 489108 652144 774421 978216 1304288 1548842 1956432 2323263 2608576 3097684 3912864 4646526 6195368 7825728 9293052 12390736 18586104 24781472 37172208 49562944 74344416 148688832