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896149152 = 253217183037
BaseRepresentation
bin110101011010100…
…010011010100000
32022110021002112100
4311122202122200
53313403233102
6224531330400
731131066513
oct6532423240
92273232470
10896149152
1141a942138
12210150a00
13113878992
1487036d7a
1553a1aa1c
hex356a26a0

896149152 has 72 divisors (see below), whose sum is σ = 2698346196. Its totient is φ = 281143296.

The previous prime is 896149129. The next prime is 896149157. The reversal of 896149152 is 251941698.

It can be written as a sum of positive squares in 2 ways, for example, as 848207376 + 47941776 = 29124^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 896149098 and 896149107.

It is not an unprimeable number, because it can be changed into a prime (896149157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86623 + ... + 96414.

Almost surely, 2896149152 is an apocalyptic number.

It is an amenable number.

896149152 is an abundant number, since it is smaller than the sum of its proper divisors (1802197044).

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

896149152 is a wasteful number, since it uses less digits than its factorization.

896149152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183070 (or 183059 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 896149152 is about 29935.7503998146. The cubic root of 896149152 is about 964.1103963835.

The spelling of 896149152 in words is "eight hundred ninety-six million, one hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 183037 366074 549111 732148 1098222 1464296 1647333 2196444 2928592 3111629 3294666 4392888 5857184 6223258 6589332 8785776 9334887 12446516 13178664 17571552 18669774 24893032 26357328 28004661 37339548 49786064 52714656 56009322 74679096 99572128 112018644 149358192 224037288 298716384 448074576 896149152