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149396592 = 243231311033
BaseRepresentation
bin10001110011110…
…01110001110000
3101102010010121010
420321321301300
5301221142332
622454030520
73462564402
oct1071716160
9342103533
10149396592
117736a964
1242048440
1324c4a367
1415bacb72
15d1b09cc
hex8e79c70

149396592 has 80 divisors (see below), whose sum is σ = 406188288. Its totient is φ = 47224320.

The previous prime is 149396581. The next prime is 149396593. The reversal of 149396592 is 295693941.

149396592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149396593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144108 + ... + 145140.

Almost surely, 2149396592 is an apocalyptic number.

149396592 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 149396592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203094144).

149396592 is an abundant number, since it is smaller than the sum of its proper divisors (256791696).

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

149396592 is a wasteful number, since it uses less digits than its factorization.

149396592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 149396592 is about 12222.7898615660. The cubic root of 149396592 is about 530.6158641242.

The spelling of 149396592 in words is "one hundred forty-nine million, three hundred ninety-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 131 138 184 262 276 368 393 524 552 786 1033 1048 1104 1572 2066 2096 3013 3099 3144 4132 6026 6198 6288 8264 9039 12052 12396 16528 18078 23759 24104 24792 36156 47518 48208 49584 71277 72312 95036 135323 142554 144624 190072 270646 285108 380144 405969 541292 570216 811938 1082584 1140432 1623876 2165168 3112429 3247752 6224858 6495504 9337287 12449716 18674574 24899432 37349148 49798864 74698296 149396592