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149327424 = 26321311979
BaseRepresentation
bin10001110011010…
…00111001000000
3101101222121201100
420321220321000
5301211434144
622452334400
73462155631
oct1071507100
9341877640
10149327424
11773229a4
1242014400
1324c24a2c
1415b91888
15d19a269
hex8e68e40

149327424 has 84 divisors (see below), whose sum is σ = 431505360. Its totient is φ = 49370880.

The previous prime is 149327419. The next prime is 149327471. The reversal of 149327424 is 424723941.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74467 + ... + 76445.

Almost surely, 2149327424 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 149327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215752680).

149327424 is an abundant number, since it is smaller than the sum of its proper divisors (282177936).

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

149327424 is a wasteful number, since it uses less digits than its factorization.

149327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 149327424 is about 12219.9600654012. The cubic root of 149327424 is about 530.5339628726.

The spelling of 149327424 in words is "one hundred forty-nine million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1572 1979 2096 2358 3144 3958 4192 4716 5937 6288 7916 8384 9432 11874 12576 15832 17811 18864 23748 25152 31664 35622 37728 47496 63328 71244 75456 94992 126656 142488 189984 259249 284976 379968 518498 569952 777747 1036996 1139904 1555494 2073992 2333241 3110988 4147984 4666482 6221976 8295968 9332964 12443952 16591936 18665928 24887904 37331856 49775808 74663712 149327424