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8472542976 = 283737409
BaseRepresentation
bin1111110010000000…
…01011111100000000
3210212110120210000000
413321000023330000
5114322432333401
63520420000000
7416646266322
oct77100137400
923773523000
108472542976
113658590a37
121785530000
13a50403851
145a5353612
15348c3d186
hex1f900bf00

8472542976 has 288 divisors, whose sum is σ = 26113326400. Its totient is φ = 2741133312.

The previous prime is 8472542971. The next prime is 8472542983. The reversal of 8472542976 is 6792452748.

8472542976 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 542 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8472542971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20715060 + ... + 20715468.

Almost surely, 28472542976 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 8472542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056663200).

8472542976 is an abundant number, since it is smaller than the sum of its proper divisors (17640783424).

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

8472542976 is an frugal number, since it uses more digits than its factorization.

8472542976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 451 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 8472542976 is about 92046.4175076901. The cubic root of 8472542976 is about 2038.6277276224.

The spelling of 8472542976 in words is "eight billion, four hundred seventy-two million, five hundred forty-two thousand, nine hundred seventy-six".