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149399432 = 237213191543
BaseRepresentation
bin10001110011110…
…10011110001000
3101102010021111022
420321322132020
5301221240212
622454052012
73462605600
oct1071723610
9342107438
10149399432
1177372006
124204a008
1324c4b740
1415badc00
15d1b1772
hex8e7a788

149399432 has 96 divisors (see below), whose sum is σ = 369633600. Its totient is φ = 55956096.

The previous prime is 149399389. The next prime is 149399477. The reversal of 149399432 is 234993941.

149399432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96053 + ... + 97595.

It is an arithmetic number, because the mean of its divisors is an integer number (3850350).

Almost surely, 2149399432 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 149399432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184816800).

149399432 is an abundant number, since it is smaller than the sum of its proper divisors (220234168).

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

149399432 is a wasteful number, since it uses less digits than its factorization.

149399432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 149399432 is about 12222.9060374364. The cubic root of 149399432 is about 530.6192264042.

The spelling of 149399432 in words is "one hundred forty-nine million, three hundred ninety-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 364 392 494 532 637 728 931 988 1064 1274 1543 1729 1862 1976 2548 3086 3458 3724 5096 6172 6916 7448 10801 12103 12344 13832 20059 21602 24206 29317 40118 43204 48412 58634 75607 80236 86408 96824 117268 140413 151214 160472 205219 234536 280826 302428 381121 410438 561652 604856 762242 820876 982891 1123304 1436533 1524484 1641752 1965782 2667847 2873066 3048968 3931564 5335694 5746132 7863128 10671388 11492264 18674929 21342776 37349858 74699716 149399432