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149511472 = 24112292663
BaseRepresentation
bin10001110100101…
…01110100110000
3101102022222011221
420322111310300
5301233331342
622500314424
73463553335
oct1072256460
9342288157
10149511472
1177439200
12420a2a14
1324c8a736
1415bdc98c
15d1d4a67
hex8e95d30

149511472 has 60 divisors (see below), whose sum is σ = 329510160. Its totient is φ = 65591680.

The previous prime is 149511457. The next prime is 149511493. The reversal of 149511472 is 274115941.

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 11 ways as a sum of consecutive naturals, for example, 54813 + ... + 57475.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2149511472 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 149511472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

149511472 is an abundant number, since it is smaller than the sum of its proper divisors (179998688).

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

149511472 is a wasteful number, since it uses less digits than its factorization.

149511472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2705 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 149511472 is about 12227.4883766046. The cubic root of 149511472 is about 530.7518367320.

The spelling of 149511472 in words is "one hundred forty-nine million, five hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2552 2663 3509 5104 5326 7018 10652 14036 21304 28072 29293 42608 56144 58586 77227 117172 154454 234344 308908 322223 468688 617816 644446 849497 1235632 1288892 1698994 2577784 3397988 5155568 6795976 9344467 13591952 18688934 37377868 74755736 149511472