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30813552 = 24327211397
BaseRepresentation
bin111010110001…
…0110101110000
32010222111020200
41311202311300
530342013202
63020235200
7522624300
oct165426560
963874220
1030813552
1116436750
12a39bb00
1364cb393
144141600
152a89e1c
hex1d62d70

30813552 has 180 divisors, whose sum is σ = 109709496. Its totient is φ = 7983360.

The previous prime is 30813533. The next prime is 30813557. The reversal of 30813552 is 25531803.

30813552 is a `hidden beast` number, since 30 + 81 + 3 + 552 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30813557) 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 35 ways as a sum of consecutive naturals, for example, 77418 + ... + 77814.

Almost surely, 230813552 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 30813552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54854748).

30813552 is an abundant number, since it is smaller than the sum of its proper divisors (78895944).

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

30813552 is a wasteful number, since it uses less digits than its factorization.

30813552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 30813552 is about 5550.9955863791. The cubic root of 30813552 is about 313.5070089930.

The spelling of 30813552 in words is "thirty million, eight hundred thirteen thousand, five hundred fifty-two".