Search a number
-
+
149901792 = 2531982183
BaseRepresentation
bin10001110111101…
…01000111100000
3101110001210121020
420323311013200
5301333324132
622512525440
73500100315
oct1073650740
9343053536
10149901792
1177685487
1242250880
13250962b1
1415ca0d0c
15d26052c
hex8ef51e0

149901792 has 48 divisors (see below), whose sum is σ = 414207360. Its totient is φ = 47336832.

The previous prime is 149901779. The next prime is 149901799. The reversal of 149901792 is 297109941.

149901792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1499017922 = 44941094489622528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149901799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39268 + ... + 42915.

It is an arithmetic number, because the mean of its divisors is an integer number (8629320).

Almost surely, 2149901792 is an apocalyptic number.

149901792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149901792 is an abundant number, since it is smaller than the sum of its proper divisors (264305568).

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

149901792 is a wasteful number, since it uses less digits than its factorization.

149901792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82215 (or 82207 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 149901792 is about 12243.4387326437. The cubic root of 149901792 is about 531.2133019725.

The spelling of 149901792 in words is "one hundred forty-nine million, nine hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 82183 164366 246549 328732 493098 657464 986196 1314928 1561477 1972392 2629856 3122954 3944784 4684431 6245908 7889568 9368862 12491816 18737724 24983632 37475448 49967264 74950896 149901792