Search a number
-
+
157764432 = 2437617761
BaseRepresentation
bin10010110011101…
…00101101010000
3101222212021010010
421121310231100
5310341430212
623353234520
73623655420
oct1131645520
9358767103
10157764432
1181065831
1244a02a40
13268ba047
1416d4a480
15dcb503c
hex9674b50

157764432 has 80 divisors (see below), whose sum is σ = 467148672. Its totient is φ = 44943360.

The previous prime is 157764427. The next prime is 157764449. The reversal of 157764432 is 234467751.

157764432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 206932 + ... + 207692.

Almost surely, 2157764432 is an apocalyptic number.

157764432 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 157764432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233574336).

157764432 is an abundant number, since it is smaller than the sum of its proper divisors (309384240).

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

157764432 is a wasteful number, since it uses less digits than its factorization.

157764432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 157764432 is about 12560.4312027892. The cubic root of 157764432 is about 540.3432111722.

The spelling of 157764432 in words is "one hundred fifty-seven million, seven hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 617 761 1234 1522 1851 2283 2468 3044 3702 4319 4566 4936 5327 6088 7404 8638 9132 9872 10654 12176 12957 14808 15981 17276 18264 21308 25914 29616 31962 34552 36528 42616 51828 63924 69104 85232 103656 127848 207312 255696 469537 939074 1408611 1878148 2817222 3286759 3756296 5634444 6573518 7512592 9860277 11268888 13147036 19720554 22537776 26294072 39441108 52588144 78882216 157764432