Search a number
-
+
150403488 = 25317157587
BaseRepresentation
bin10001111011011…
…11100110100000
3101111000021210120
420331233212200
5302000402423
622531400240
73504260064
oct1075574640
9344007716
10150403488
1177998404
1242453080
1325210761
1415d91aa4
15d30dee3
hex8f6f9a0

150403488 has 96 divisors (see below), whose sum is σ = 421412544. Its totient is φ = 46804992.

The previous prime is 150403469. The next prime is 150403493. The reversal of 150403488 is 884304051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1504034882 = 45242418405132288, which contains 22 as substring.

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, 255931 + ... + 256517.

It is an arithmetic number, because the mean of its divisors is an integer number (4389714).

Almost surely, 2150403488 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 150403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210706272).

150403488 is an abundant number, since it is smaller than the sum of its proper divisors (271009056).

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

150403488 is a wasteful number, since it uses less digits than its factorization.

150403488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 150403488 is about 12263.9099801001. The cubic root of 150403488 is about 531.8052691490.

It can be divided in two parts, 15040 and 3488, that added together give a triangular number (18528 = T192).

The spelling of 150403488 in words is "one hundred fifty million, four hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 157 204 272 314 408 471 544 587 628 816 942 1174 1256 1632 1761 1884 2348 2512 2669 3522 3768 4696 5024 5338 7044 7536 8007 9392 9979 10676 14088 15072 16014 18784 19958 21352 28176 29937 32028 39916 42704 56352 59874 64056 79832 85408 92159 119748 128112 159664 184318 239496 256224 276477 319328 368636 478992 552954 737272 957984 1105908 1474544 1566703 2211816 2949088 3133406 4423632 4700109 6266812 8847264 9400218 12533624 18800436 25067248 37600872 50134496 75201744 150403488