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150461152 = 25171914557
BaseRepresentation
bin10001111011111…
…01101011100000
3101111010012220021
420331331223200
5302004224102
622532523224
73504620152
oct1075755340
9344105807
10150461152
1177a27766
1242480514
1325230a8a
1415da8ad2
15d321137
hex8f7dae0

150461152 has 48 divisors (see below), whose sum is σ = 330175440. Its totient is φ = 67074048.

The previous prime is 150461089. The next prime is 150461161. The reversal of 150461152 is 251164051.

It is a happy number.

It is a super-2 number, since 2×1504611522 = 45277116522334208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3058 + ... + 17614.

It is an arithmetic number, because the mean of its divisors is an integer number (6878655).

Almost surely, 2150461152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087720).

150461152 is an abundant number, since it is smaller than the sum of its proper divisors (179714288).

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

150461152 is a wasteful number, since it uses less digits than its factorization.

150461152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 150461152 is about 12266.2607179205. The cubic root of 150461152 is about 531.8732243567.

The spelling of 150461152 in words is "one hundred fifty million, four hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 14557 29114 58228 116456 232912 247469 276583 465824 494938 553166 989876 1106332 1979752 2212664 3959504 4425328 4701911 7919008 8850656 9403822 18807644 37615288 75230576 150461152