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989079552 = 2113331577
BaseRepresentation
bin111010111101000…
…010100000000000
32112221010110002000
4322331002200000
54011201021202
6242051224000
733340015566
oct7275024000
92487113060
10989079552
1146834511a
122372a8000
13129bb5696
1495507a36
155bc7591c
hex3af42800

989079552 has 192 divisors, whose sum is σ = 3029644800. Its totient is φ = 318504960.

The previous prime is 989079541. The next prime is 989079563. The reversal of 989079552 is 255970989.

989079552 is a `hidden beast` number, since 9 + 89 + 0 + 7 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (989079541) and next prime (989079563).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713888 + ... + 1714464.

It is an arithmetic number, because the mean of its divisors is an integer number (15779400).

Almost surely, 2989079552 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 989079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514822400).

989079552 is an abundant number, since it is smaller than the sum of its proper divisors (2040565248).

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

989079552 is a wasteful number, since it uses less digits than its factorization.

989079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 989079552 is about 31449.6351648155. The cubic root of 989079552 is about 996.3465189987.

The spelling of 989079552 in words is "nine hundred eighty-nine million, seventy-nine thousand, five hundred fifty-two".