Search a number
-
+
150159408 = 2437795657
BaseRepresentation
bin10001111001101…
…00000000110000
3101110112212222120
420330310000300
5301420100113
622522234240
73502222350
oct1074640060
9343485876
10150159408
1177840a93
1242355980
1325156629
1415d2ab60
15d2b1a23
hex8f34030

150159408 has 80 divisors (see below), whose sum is σ = 449018880. Its totient is φ = 42352128.

The previous prime is 150159403. The next prime is 150159437. The reversal of 150159408 is 804951051.

It is not an unprimeable number, because it can be changed into a prime (150159403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23716 + ... + 29372.

It is an arithmetic number, because the mean of its divisors is an integer number (5612736).

Almost surely, 2150159408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150159408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224509440).

150159408 is an abundant number, since it is smaller than the sum of its proper divisors (298859472).

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

150159408 is a wasteful number, since it uses less digits than its factorization.

150159408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 150159408 is about 12253.9547901892. The cubic root of 150159408 is about 531.5174360420.

The spelling of 150159408 in words is "one hundred fifty million, one hundred fifty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 5657 6636 8848 11314 13272 16971 22628 26544 33942 39599 45256 67884 79198 90512 118797 135768 158396 237594 271536 316792 446903 475188 633584 893806 950376 1340709 1787612 1900752 2681418 3128321 3575224 5362836 6256642 7150448 9384963 10725672 12513284 18769926 21451344 25026568 37539852 50053136 75079704 150159408