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149466624 = 293314373
BaseRepresentation
bin10001110100010…
…10111000000000
3101102020200122220
420322022320000
5301230412444
622455331040
73463305516
oct1072127000
9342220586
10149466624
117740853a
1242080a80
1324c731b8
1415bca4b6
15d1c6619
hex8e8ae00

149466624 has 160 divisors (see below), whose sum is σ = 426353664. Its totient is φ = 46448640.

The previous prime is 149466623. The next prime is 149466641. The reversal of 149466624 is 426664941.

It is a Smith number, since the sum of its digits (42) 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 (149466623) 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, 2047452 + ... + 2047524.

Almost surely, 2149466624 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 149466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213176832).

149466624 is an abundant number, since it is smaller than the sum of its proper divisors (276887040).

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

149466624 is an equidigital number, since it uses as much as digits as its factorization.

149466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 149466624 is about 12225.6543383166. The cubic root of 149466624 is about 530.6987626803.

The spelling of 149466624 in words is "one hundred forty-nine million, four hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 73 86 93 96 124 128 129 146 172 186 192 219 248 256 258 292 344 372 384 438 496 512 516 584 688 744 768 876 992 1032 1168 1333 1376 1488 1536 1752 1984 2064 2263 2336 2666 2752 2976 3139 3504 3968 3999 4128 4526 4672 5332 5504 5952 6278 6789 7008 7936 7998 8256 9052 9344 9417 10664 11008 11904 12556 13578 14016 15872 15996 16512 18104 18688 18834 21328 22016 23808 25112 27156 28032 31992 33024 36208 37376 37668 42656 47616 50224 54312 56064 63984 66048 72416 75336 85312 97309 100448 108624 112128 127968 144832 150672 170624 194618 200896 217248 255936 289664 291927 301344 341248 389236 401792 434496 511872 579328 583854 602688 682496 778472 803584 868992 1023744 1158656 1167708 1205376 1556944 1607168 1737984 2047488 2335416 2410752 3113888 3475968 4670832 4821504 6227776 9341664 12455552 18683328 24911104 37366656 49822208 74733312 149466624