Search a number
-
+
150409024 = 2631471613
BaseRepresentation
bin10001111011100…
…00111101000000
3101111000120101121
420331300331000
5302001042044
622531442024
73504312163
oct1075607500
9344016347
10150409024
11779a1587
1242456314
132521312c
1415d93ada
15d310984
hex8f70f40

150409024 has 56 divisors (see below), whose sum is σ = 314846208. Its totient is φ = 71185920.

The previous prime is 150409003. The next prime is 150409057. The reversal of 150409024 is 420904051.

It is a self number, because there is not a number n which added to its sum of digits gives 150409024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92442 + ... + 94054.

Almost surely, 2150409024 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 150409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157423104).

150409024 is an abundant number, since it is smaller than the sum of its proper divisors (164437184).

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

150409024 is a wasteful number, since it uses less digits than its factorization.

150409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 150409024 is about 12264.1356809194. The cubic root of 150409024 is about 531.8117939043.

The spelling of 150409024 in words is "one hundred fifty million, four hundred nine thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 248 376 496 752 992 1457 1504 1613 1984 2914 3008 3226 5828 6452 11656 12904 23312 25808 46624 50003 51616 75811 93248 100006 103232 151622 200012 303244 400024 606488 800048 1212976 1600096 2350141 2425952 3200192 4700282 4851904 9400564 18801128 37602256 75204512 150409024