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149748372 = 22335971331
BaseRepresentation
bin10001110110011…
…11101010010100
3101102210000011000
420323033222110
5301313421442
622505343300
73465561114
oct1073175224
9342700130
10149748372
1177590194
1242197b30
1325041507
1415c61044
15d22ed4c
hex8ecfa94

149748372 has 96 divisors (see below), whose sum is σ = 401587200. Its totient is φ = 48232800.

The previous prime is 149748349. The next prime is 149748409. The reversal of 149748372 is 273847941.

149748372 is a `hidden beast` number, since 14 + 97 + 483 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452247 + ... + 452577.

It is an arithmetic number, because the mean of its divisors is an integer number (4183200).

Almost surely, 2149748372 is an apocalyptic number.

149748372 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 149748372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793600).

149748372 is an abundant number, since it is smaller than the sum of its proper divisors (251838828).

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

149748372 is a wasteful number, since it uses less digits than its factorization.

149748372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

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

The square root of 149748372 is about 12237.1717320629. The cubic root of 149748372 is about 531.0320131359.

The spelling of 149748372 in words is "one hundred forty-nine million, seven hundred forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 71 108 118 142 177 213 236 284 331 354 426 531 639 662 708 852 993 1062 1278 1324 1593 1917 1986 2124 2556 2979 3186 3834 3972 4189 5958 6372 7668 8378 8937 11916 12567 16756 17874 19529 23501 25134 35748 37701 39058 47002 50268 58587 70503 75402 78116 94004 113103 117174 141006 150804 175761 211509 226206 234348 282012 351522 423018 452412 527283 634527 703044 846036 1054566 1269054 1386559 2109132 2538108 2773118 4159677 5546236 8319354 12479031 16638708 24958062 37437093 49916124 74874186 149748372