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149465052 = 223211371012
BaseRepresentation
bin10001110100010…
…10011111011100
3101102020121111200
420322022133130
5301230340202
622455315500
73463301112
oct1072123734
9342217450
10149465052
1177407340
124207bb90
1324c72579
1415bc9ab2
15d1c5e1c
hex8e8a7dc

149465052 has 108 divisors (see below), whose sum is σ = 427533288. Its totient is φ = 43632000.

The previous prime is 149465027. The next prime is 149465053. The reversal of 149465052 is 250564941.

149465052 is a `hidden beast` number, since 149 + 4 + 6 + 505 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149464998 and 149465016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149465053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1479802 + ... + 1479902.

Almost surely, 2149465052 is an apocalyptic number.

149465052 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 149465052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213766644).

149465052 is an abundant number, since it is smaller than the sum of its proper divisors (278068236).

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

149465052 is a wasteful number, since it uses less digits than its factorization.

149465052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 149465052 is about 12225.5900471102. The cubic root of 149465052 is about 530.6969021503.

The spelling of 149465052 in words is "one hundred forty-nine million, four hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 101 111 132 148 198 202 222 303 333 396 404 407 444 606 666 814 909 1111 1212 1221 1332 1628 1818 2222 2442 3333 3636 3663 3737 4444 4884 6666 7326 7474 9999 10201 11211 13332 14652 14948 19998 20402 22422 30603 33633 39996 40804 41107 44844 61206 67266 82214 91809 112211 122412 123321 134532 164428 183618 224422 246642 336633 367236 369963 377437 448844 493284 673266 739926 754874 1009899 1132311 1346532 1479852 1509748 2019798 2264622 3396933 4039596 4151807 4529244 6793866 8303614 12455421 13587732 16607228 24910842 37366263 49821684 74732526 149465052