Search a number
-
+
153942912 = 2732133631
BaseRepresentation
bin10010010110011…
…11101110000000
3101201200002222100
421023033232000
5303402133122
623135310400
73546331104
oct1113175600
9351602870
10153942912
1179995652
124367b400
1325b7c7a6
1416633904
15d7acaac
hex92cfb80

153942912 has 48 divisors (see below), whose sum is σ = 442990080. Its totient is φ = 51313920.

The previous prime is 153942889. The next prime is 153942937. The reversal of 153942912 is 219249351.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65664 + ... + 67967.

It is an arithmetic number, because the mean of its divisors is an integer number (9228960).

Almost surely, 2153942912 is an apocalyptic number.

153942912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153942912 is an abundant number, since it is smaller than the sum of its proper divisors (289047168).

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

153942912 is a wasteful number, since it uses less digits than its factorization.

153942912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133651 (or 133636 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 153942912 is about 12407.3732917165. The cubic root of 153942912 is about 535.9445996056.

The spelling of 153942912 in words is "one hundred fifty-three million, nine hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 133631 267262 400893 534524 801786 1069048 1202679 1603572 2138096 2405358 3207144 4276192 4810716 6414288 8552384 9621432 12828576 17104768 19242864 25657152 38485728 51314304 76971456 153942912