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149032992 = 2538917443
BaseRepresentation
bin10001110001000…
…01000000100000
3101101102122211110
420320201000200
5301123023432
622442143320
73456521343
oct1070410040
9341378743
10149032992
1177141769
1241ab1b40
1324b50a04
1415b1645a
15d13cdcc
hex8e21020

149032992 has 48 divisors (see below), whose sum is σ = 395629920. Its totient is φ = 49116672.

The previous prime is 149032957. The next prime is 149033011. The reversal of 149032992 is 299230941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149032992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (8242290).

Almost surely, 2149032992 is an apocalyptic number.

149032992 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 149032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197814960).

149032992 is an abundant number, since it is smaller than the sum of its proper divisors (246596928).

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

149032992 is a wasteful number, since it uses less digits than its factorization.

149032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17545 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 149032992 is about 12207.9069459101. The cubic root of 149032992 is about 530.1850451517.

The spelling of 149032992 in words is "one hundred forty-nine million, thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 17443 34886 52329 69772 104658 139544 209316 279088 418632 558176 837264 1552427 1674528 3104854 4657281 6209708 9314562 12419416 18629124 24838832 37258248 49677664 74516496 149032992