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1055283264 = 26327793313
BaseRepresentation
bin111110111001100…
…101100001000000
32201112200221111100
4332321211201000
54130123031024
6252414214400
735102521410
oct7671454100
92645627440
101055283264
114a1752a32
122554b4400
1313a825289
14a021c640
15629a17c9
hex3ee65840

1055283264 has 168 divisors, whose sum is σ = 3501704960. Its totient is φ = 297603072.

The previous prime is 1055283247. The next prime is 1055283283. The reversal of 1055283264 is 4623825501.

1055283264 is a `hidden beast` number, since 1 + 0 + 552 + 83 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10552832642 = 2227245534556987392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316872 + ... + 320184.

Almost surely, 21055283264 is an apocalyptic number.

1055283264 is a gapful number since it is divisible by the number (14) 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 1055283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750852480).

1055283264 is an abundant number, since it is smaller than the sum of its proper divisors (2446421696).

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

1055283264 is a wasteful number, since it uses less digits than its factorization.

1055283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1055283264 is about 32485.1237337954. The cubic root of 1055283264 is about 1018.0982326406.

The spelling of 1055283264 in words is "one billion, fifty-five million, two hundred eighty-three thousand, two hundred sixty-four".