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150379488 = 2532797769
BaseRepresentation
bin10001111011010…
…01101111100000
3101110222001212200
420331221233200
5301444120423
622531053200
73504130110
oct1075515740
9343861780
10150379488
1177981376
1242441200
132520285c
1415d87040
15d306d43
hex8f69be0

150379488 has 144 divisors (see below), whose sum is σ = 494413920. Its totient is φ = 42467328.

The previous prime is 150379477. The next prime is 150379531. The reversal of 150379488 is 884973051.

150379488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1503794882 = 45227980822284288, 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 23 ways as a sum of consecutive naturals, for example, 195168 + ... + 195936.

It is an arithmetic number, because the mean of its divisors is an integer number (3433430).

Almost surely, 2150379488 is an apocalyptic number.

150379488 is a gapful number since it is divisible by the number (18) 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 150379488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247206960).

150379488 is an abundant number, since it is smaller than the sum of its proper divisors (344034432).

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

150379488 is a wasteful number, since it uses less digits than its factorization.

150379488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 150379488 is about 12262.9314602994. The cubic root of 150379488 is about 531.7769807860.

The spelling of 150379488 in words is "one hundred fifty million, three hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 769 776 873 1008 1164 1358 1538 1552 1746 2016 2037 2307 2328 2716 3076 3104 3492 4074 4614 4656 5383 5432 6111 6152 6921 6984 8148 9228 9312 10766 10864 12222 12304 13842 13968 16149 16296 18456 21532 21728 24444 24608 27684 27936 32298 32592 36912 43064 48447 48888 55368 64596 65184 73824 74593 86128 96894 97776 110736 129192 149186 172256 193788 195552 221472 223779 258384 298372 387576 447558 516768 522151 596744 671337 775152 895116 1044302 1193488 1342674 1550304 1566453 1790232 2088604 2386976 2685348 3132906 3580464 4177208 4699359 5370696 6265812 7160928 8354416 9398718 10741392 12531624 16708832 18797436 21482784 25063248 37594872 50126496 75189744 150379488