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149475024 = 24331791933
BaseRepresentation
bin10001110100011…
…00111011010000
3101102021010012000
420322030323100
5301231200044
622455434000
73463342146
oct1072147320
9342233160
10149475024
1177413886
1242085900
1324c76c7a
1415bcd596
15d1c8d69
hex8e8ced0

149475024 has 80 divisors (see below), whose sum is σ = 431668800. Its totient is φ = 49521024.

The previous prime is 149475023. The next prime is 149475043. The reversal of 149475024 is 420574941.

It is a happy number.

149475024 is a `hidden beast` number, since 149 + 4 + 7 + 502 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149475024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149475023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76362 + ... + 78294.

It is an arithmetic number, because the mean of its divisors is an integer number (5395860).

Almost surely, 2149475024 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 149475024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215834400).

149475024 is an abundant number, since it is smaller than the sum of its proper divisors (282193776).

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

149475024 is a wasteful number, since it uses less digits than its factorization.

149475024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149475024 is about 12225.9978733844. The cubic root of 149475024 is about 530.7087042221.

The spelling of 149475024 in words is "one hundred forty-nine million, four hundred seventy-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1611 1933 2148 2864 3222 3866 4296 4833 5799 6444 7732 8592 9666 11598 12888 15464 17397 19332 23196 25776 30928 34794 38664 46392 52191 69588 77328 92784 104382 139176 208764 278352 346007 417528 692014 835056 1038021 1384028 2076042 2768056 3114063 4152084 5536112 6228126 8304168 9342189 12456252 16608336 18684378 24912504 37368756 49825008 74737512 149475024