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150848852 = 227211313761
BaseRepresentation
bin10001111110111…
…00010101010100
3101111211220201112
420333130111110
5302104130402
622545114152
73511123400
oct1077342524
9344756645
10150848852
1178171a80
1242628958
132533839b
141606a100
15d39ae52
hex8fdc554

150848852 has 144 divisors (see below), whose sum is σ = 360976896. Its totient is φ = 54432000.

The previous prime is 150848851. The next prime is 150848857. The reversal of 150848852 is 258848051.

It is a happy number.

It is a super-2 number, since 2×1508488522 = 45510752299435808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150848851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472902 + ... + 2472962.

It is an arithmetic number, because the mean of its divisors is an integer number (2506784).

Almost surely, 2150848852 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 150848852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180488448).

150848852 is an abundant number, since it is smaller than the sum of its proper divisors (210128044).

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

150848852 is a wasteful number, since it uses less digits than its factorization.

150848852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 41.

The square root of 150848852 is about 12282.0540627372. The cubic root of 150848852 is about 532.3296664017.

The spelling of 150848852 in words is "one hundred fifty million, eight hundred forty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 37 44 49 61 62 74 77 98 122 124 148 154 196 217 244 259 308 341 407 427 434 518 539 671 682 814 854 868 1036 1078 1147 1342 1364 1519 1628 1708 1813 1891 2156 2257 2294 2387 2684 2849 2989 3038 3626 3782 4514 4588 4697 4774 5698 5978 6076 7252 7564 8029 9028 9394 9548 11396 11956 12617 13237 15799 16058 16709 18788 19943 20801 24827 25234 26474 31598 32116 32879 33418 39886 41602 49654 50468 52948 56203 63196 65758 66836 69967 79772 83204 88319 92659 99308 110593 112406 131516 139934 145607 173789 176638 185318 221186 224812 279868 291214 347578 353276 370636 442372 489769 582428 618233 695156 769637 979538 1019249 1216523 1236466 1539274 1959076 2038498 2433046 2472932 3078548 3428383 4076996 4866092 5387459 6856766 10774918 13713532 21549836 37712213 75424426 150848852