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1054973808 = 243775973
BaseRepresentation
bin111110111000011…
…001111101110000
32201112010020000000
4332320121331300
54130033130213
6252403430000
735100062250
oct7670317560
92645106000
101054973808
114a1561489
12255385300
1313a747475
14a017b960
156293ec73
hex3ee19f70

1054973808 has 320 divisors, whose sum is σ = 3611673600. Its totient is φ = 292253184.

The previous prime is 1054973791. The next prime is 1054973813. The reversal of 1054973808 is 8083794501.

It is a super-2 number, since 2×10549738082 = 2225939471132041728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14451660 + ... + 14451732.

It is an arithmetic number, because the mean of its divisors is an integer number (11286480).

Almost surely, 21054973808 is an apocalyptic number.

1054973808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054973808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805836800).

1054973808 is an abundant number, since it is smaller than the sum of its proper divisors (2556699792).

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

1054973808 is an frugal number, since it uses more digits than its factorization.

1054973808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1054973808 is about 32480.3603428287. The cubic root of 1054973808 is about 1017.9987056798.

The spelling of 1054973808 in words is "one billion, fifty-four million, nine hundred seventy-three thousand, eight hundred eight".