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149523924 = 223111318647
BaseRepresentation
bin10001110100110…
…00110111010100
3101102100121021010
420322120313110
5301234231144
622500452220
73463634544
oct1072306724
9342317233
10149523924
11774475a0
12420aa070
1324c932c4
1415c03324
15d1d85b9
hex8e98dd4

149523924 has 48 divisors (see below), whose sum is σ = 383556096. Its totient is φ = 44959200.

The previous prime is 149523923. The next prime is 149523931. The reversal of 149523924 is 429325941.

149523924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149523923) 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, 12969 + ... + 21615.

It is an arithmetic number, because the mean of its divisors is an integer number (7990752).

Almost surely, 2149523924 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 149523924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191778048).

149523924 is an abundant number, since it is smaller than the sum of its proper divisors (234032172).

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

149523924 is a wasteful number, since it uses less digits than its factorization.

149523924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8794 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 149523924 is about 12227.9975466141. The cubic root of 149523924 is about 530.7665708040.

The spelling of 149523924 in words is "one hundred forty-nine million, five hundred twenty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 8647 17292 17294 25941 34588 51882 95117 103764 190234 285351 380468 570702 1132757 1141404 2265514 3398271 4531028 6796542 12460327 13593084 24920654 37380981 49841308 74761962 149523924