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150552 = 23331741
BaseRepresentation
bin100100110000011000
321122112000
4210300120
514304202
63121000
71164633
oct446030
9248460
10150552
11a3126
1273160
13536ac
143cc1a
152e91c
hex24c18

150552 has 64 divisors (see below), whose sum is σ = 453600. Its totient is φ = 46080.

The previous prime is 150551. The next prime is 150559. The reversal of 150552 is 255051.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3652 + ... + 3692.

2150552 is an apocalyptic number.

150552 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 150552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

150552 is an abundant number, since it is smaller than the sum of its proper divisors (303048).

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

150552 is a wasteful number, since it uses less digits than its factorization.

150552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 150552 is about 388.0103091414. The cubic root of 150552 is about 53.1980250647.

The spelling of 150552 in words is "one hundred fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 41 51 54 68 72 82 102 108 123 136 153 164 204 216 246 306 328 369 408 459 492 612 697 738 918 984 1107 1224 1394 1476 1836 2091 2214 2788 2952 3672 4182 4428 5576 6273 8364 8856 12546 16728 18819 25092 37638 50184 75276 150552