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150836896 = 2572196183
BaseRepresentation
bin10001111110110…
…01011010100000
3101111211022022201
420333121122200
5302103240041
622544542544
73511043500
oct1077313240
9344738281
10150836896
1178163aa1
1242621a54
1325332b02
1416065a00
15d397631
hex8fd96a0

150836896 has 144 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 59512320.

The previous prime is 150836879. The next prime is 150836911. The reversal of 150836896 is 698638051.

150836896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1817271 + ... + 1817353.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2150836896 is an apocalyptic number.

150836896 is a gapful number since it is divisible by the number (16) 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 150836896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

150836896 is an abundant number, since it is smaller than the sum of its proper divisors (223201664).

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

150836896 is a wasteful number, since it uses less digits than its factorization.

150836896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 150836896 is about 12281.5673266892. The cubic root of 150836896 is about 532.3156022097.

The spelling of 150836896 in words is "one hundred fifty million, eight hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 61 76 83 98 112 122 133 152 166 196 224 244 266 304 332 392 427 488 532 581 608 664 784 854 931 976 1064 1159 1162 1328 1568 1577 1708 1862 1952 2128 2318 2324 2656 2989 3154 3416 3724 4067 4256 4636 4648 5063 5978 6308 6832 7448 8113 8134 9272 9296 10126 11039 11956 12616 13664 14896 16226 16268 18544 18592 20252 22078 23912 25232 29792 32452 32536 35441 37088 40504 44156 47824 50464 56791 64904 65072 70882 77273 81008 88312 95648 96197 113582 129808 130144 141764 154546 162016 176624 192394 227164 248087 259616 283528 309092 353248 384788 454328 496174 567056 618184 673379 769576 908656 992348 1134112 1236368 1346758 1539152 1817312 1984696 2472736 2693516 3078304 3969392 4713653 5387032 7938784 9427306 10774064 18854612 21548128 37709224 75418448 150836896