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150889648 = 24713313343
BaseRepresentation
bin10001111111001…
…10010010110000
3101111220222200111
420333212102300
5302111432043
622550031104
73511353340
oct1077462260
9344828614
10150889648
117819a698
1242648494
1325350b20
141607ad20
15d3a809d
hex8fe64b0

150889648 has 80 divisors (see below), whose sum is σ = 371531776. Its totient is φ = 57749760.

The previous prime is 150889597. The next prime is 150889667. The reversal of 150889648 is 846988051.

150889648 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 15 ways as a sum of consecutive naturals, for example, 43465 + ... + 46807.

Almost surely, 2150889648 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 150889648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185765888).

150889648 is an abundant number, since it is smaller than the sum of its proper divisors (220642128).

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

150889648 is a wasteful number, since it uses less digits than its factorization.

150889648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 150889648 is about 12283.7147475835. The cubic root of 150889648 is about 532.3776503347.

The spelling of 150889648 in words is "one hundred fifty million, eight hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3343 3472 5642 6448 6686 11284 13372 22568 23401 26744 43459 45136 46802 53488 86918 93604 103633 173836 187208 207266 304213 347672 374416 414532 608426 695344 725431 829064 1216852 1347229 1450862 1658128 2433704 2694458 2901724 4867408 5388916 5803448 9430603 10777832 11606896 18861206 21555664 37722412 75444824 150889648