Search a number
-
+
148017856 = 2672911393
BaseRepresentation
bin10001101001010…
…01001011000000
3101022112002022211
420310221023000
5300343032411
622404311504
73445062640
oct1064511300
9338462284
10148017856
1176609008
12416a2594
132488693c
1415930520
15cedc221
hex8d292c0

148017856 has 56 divisors (see below), whose sum is σ = 347289120. Its totient is φ = 61243392.

The previous prime is 148017853. The next prime is 148017869. The reversal of 148017856 is 658710841.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (148017851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7296 + ... + 18688.

Almost surely, 2148017856 is an apocalyptic number.

148017856 is a gapful number since it is divisible by the number (16) 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 148017856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644560).

148017856 is an abundant number, since it is smaller than the sum of its proper divisors (199271264).

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

148017856 is a wasteful number, since it uses less digits than its factorization.

148017856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 148017856 is about 12166.2589155418. The cubic root of 148017856 is about 528.9785190730.

The spelling of 148017856 in words is "one hundred forty-eight million, seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 11393 12992 22786 45572 79751 91144 159502 182288 319004 330397 364576 638008 660794 729152 1276016 1321588 2312779 2552032 2643176 4625558 5104064 5286352 9251116 10572704 18502232 21145408 37004464 74008928 148017856