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150087552 = 273419533
BaseRepresentation
bin10001111001000…
…10011110000000
3101110102020102020
420330202132000
5301410300202
622520521440
73501503016
oct1074423600
9343366366
10150087552
11777a1aaa
1242320280
132512ca04
1415d0c8b6
15d29a5bc
hex8f22780

150087552 has 64 divisors (see below), whose sum is σ = 408436560. Its totient is φ = 48803840.

The previous prime is 150087541. The next prime is 150087559. The reversal of 150087552 is 255780051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150087559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10978 + ... + 20510.

Almost surely, 2150087552 is an apocalyptic number.

150087552 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 150087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204218280).

150087552 is an abundant number, since it is smaller than the sum of its proper divisors (258349008).

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

150087552 is an equidigital number, since it uses as much as digits as its factorization.

150087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 150087552 is about 12251.0224879395. The cubic root of 150087552 is about 531.4326399107.

The spelling of 150087552 in words is "one hundred fifty million, eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 9533 15744 19066 28599 38132 57198 76264 114396 152528 228792 305056 390853 457584 610112 781706 915168 1172559 1220224 1563412 1830336 2345118 3126824 3660672 4690236 6253648 9380472 12507296 18760944 25014592 37521888 50029184 75043776 150087552