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150530952 = 2331113231907
BaseRepresentation
bin10001111100011…
…10101110001000
3101111020202122110
420332032232020
5302013442302
622534222320
73505330515
oct1076165610
9344222573
10150530952
1177a75150
12424b49a0
1325256790
1415dc630c
15d336b6c
hex8f8eb88

150530952 has 128 divisors (see below), whose sum is σ = 461583360. Its totient is φ = 40254720.

The previous prime is 150530927. The next prime is 150530983. The reversal of 150530952 is 259035051.

150530952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77983 + ... + 79889.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2150530952 is an apocalyptic number.

150530952 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 150530952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230791680).

150530952 is an abundant number, since it is smaller than the sum of its proper divisors (311052408).

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

150530952 is a wasteful number, since it uses less digits than its factorization.

150530952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 150530952 is about 12269.1055908734. The cubic root of 150530952 is about 531.9554582340.

The spelling of 150530952 in words is "one hundred fifty million, five hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 1907 2024 2392 3036 3289 3432 3588 3814 5721 6072 6578 7176 7628 9867 11442 13156 15256 19734 20977 22884 24791 26312 39468 41954 43861 45768 49582 62931 74373 78936 83908 87722 99164 125862 131583 148746 167816 175444 198328 251724 263166 272701 297492 350888 482471 503448 526332 545402 570193 594984 818103 964942 1052664 1090804 1140386 1447413 1636206 1710579 1929884 2181608 2280772 2894826 3272412 3421158 3859768 4561544 5789652 6272123 6544824 6842316 11579304 12544246 13684632 18816369 25088492 37632738 50176984 75265476 150530952