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961408552 = 231325313417
BaseRepresentation
bin111001010011011…
…110111000101000
32111000001121121011
4321103132320220
53432110033202
6235222153304
732552560246
oct7123367050
92430047534
10961408552
11453765525
12229b82834
13124247800
1491983796
155960bbd7
hex394dee28

961408552 has 48 divisors (see below), whose sum is σ = 1988950140. Its totient is φ = 435322368.

The previous prime is 961408541. The next prime is 961408559. The reversal of 961408552 is 255804169.

It can be written as a sum of positive squares in 6 ways, for example, as 178863876 + 782544676 = 13374^2 + 27974^2 .

It is not an unprimeable number, because it can be changed into a prime (961408559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64948 + ... + 78364.

Almost surely, 2961408552 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 961408552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994475070).

961408552 is an abundant number, since it is smaller than the sum of its proper divisors (1027541588).

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

961408552 is a wasteful number, since it uses less digits than its factorization.

961408552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 961408552 is about 31006.5888481787. The cubic root of 961408552 is about 986.9670645060.

The spelling of 961408552 in words is "nine hundred sixty-one million, four hundred eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2756 5512 8957 13417 17914 26834 35828 53668 71656 107336 174421 348842 697684 711101 1395368 1422202 2267473 2844404 4534946 5688808 9069892 9244313 18139784 18488626 36977252 73954504 120176069 240352138 480704276 961408552