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150853648 = 241117127397
BaseRepresentation
bin10001111110111…
…01100000010000
3101111212011022011
420333131200100
5302104304043
622545152304
73511143361
oct1077354020
9344764264
10150853648
1178175640
124262b694
132533a61a
141606bb68
15d39c59d
hex8fdd810

150853648 has 80 divisors (see below), whose sum is σ = 341121024. Its totient is φ = 63866880.

The previous prime is 150853639. The next prime is 150853663. The reversal of 150853648 is 846358051.

It is a super-2 number, since 2×1508536482 = 45513646229815808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150853648.

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 15 ways as a sum of consecutive naturals, for example, 379786 + ... + 380182.

Almost surely, 2150853648 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 150853648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170560512).

150853648 is an abundant number, since it is smaller than the sum of its proper divisors (190267376).

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

150853648 is a wasteful number, since it uses less digits than its factorization.

150853648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 150853648 is about 12282.2493054000. The cubic root of 150853648 is about 532.3353078677.

The spelling of 150853648 in words is "one hundred fifty million, eight hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 127 136 176 187 254 272 374 397 508 748 794 1016 1397 1496 1588 2032 2159 2794 2992 3176 4318 4367 5588 6352 6749 8636 8734 11176 13498 17272 17468 22352 23749 26996 34544 34936 47498 50419 53992 69872 74239 94996 100838 107984 148478 189992 201676 296956 379984 403352 554609 593912 806704 857123 1109218 1187824 1714246 2218436 3428492 4436872 6856984 8873744 9428353 13713968 18856706 37713412 75426824 150853648