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149437872 = 2434671721
BaseRepresentation
bin10001110100000…
…11110110110000
3101102012020020000
420322003312300
5301224002442
622454550000
73463125633
oct1072036660
9342166200
10149437872
1177398981
1242068300
1324c6309c
1415bbdc1a
15d1bcd4c
hex8e83db0

149437872 has 100 divisors (see below), whose sum is σ = 439227096. Its totient is φ = 49040640.

The previous prime is 149437823. The next prime is 149437891. The reversal of 149437872 is 278734941.

149437872 is a `hidden beast` number, since 149 + 437 + 8 + 72 = 666.

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 19 ways as a sum of consecutive naturals, for example, 85972 + ... + 87692.

Almost surely, 2149437872 is an apocalyptic number.

149437872 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 149437872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219613548).

149437872 is an abundant number, since it is smaller than the sum of its proper divisors (289789224).

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

149437872 is a wasteful number, since it uses less digits than its factorization.

149437872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1793 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 149437872 is about 12224.4783937802. The cubic root of 149437872 is about 530.6647313830.

The spelling of 149437872 in words is "one hundred forty-nine million, four hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 1072 1206 1296 1608 1721 1809 2412 3216 3442 3618 4824 5163 5427 6884 7236 9648 10326 10854 13768 14472 15489 20652 21708 27536 28944 30978 41304 43416 46467 61956 82608 86832 92934 115307 123912 139401 185868 230614 247824 278802 345921 371736 461228 557604 691842 743472 922456 1037763 1115208 1383684 1844912 2075526 2230416 2767368 3113289 4151052 5534736 6226578 8302104 9339867 12453156 16604208 18679734 24906312 37359468 49812624 74718936 149437872