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150532452 = 22337832399
BaseRepresentation
bin10001111100011…
…11000101100100
3101111020211201000
420332033011210
5302014014302
622534233300
73505335060
oct1076170544
9344224630
10150532452
1177a76294
12424b5830
1325257375
1415dc6aa0
15d33731c
hex8f8f164

150532452 has 96 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 42473376.

The previous prime is 150532441. The next prime is 150532453. The reversal of 150532452 is 254235051.

It is a happy number.

150532452 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150532453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61549 + ... + 63947.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2150532452 is an apocalyptic number.

150532452 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 150532452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

150532452 is an abundant number, since it is smaller than the sum of its proper divisors (301051548).

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

150532452 is a wasteful number, since it uses less digits than its factorization.

150532452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 150532452 is about 12269.1667198714. The cubic root of 150532452 is about 531.9572251586.

The spelling of 150532452 in words is "one hundred fifty million, five hundred thirty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2399 2988 3486 4482 4798 5229 6972 7197 8964 9596 10458 14394 15687 16793 20916 21591 28788 31374 33586 43182 50379 62748 64773 67172 86364 100758 129546 151137 199117 201516 259092 302274 398234 453411 597351 604548 796468 906822 1194702 1393819 1792053 1813644 2389404 2787638 3584106 4181457 5376159 5575276 7168212 8362914 10752318 12544371 16725828 21504636 25088742 37633113 50177484 75266226 150532452