Search a number
-
+
1056054496 = 2575219049
BaseRepresentation
bin111110111100100…
…001110011100000
32201121011010102111
4332330201303200
54130322220441
6252442525104
735112213040
oct7674416340
92647133374
101056054496
114a212a412
12255806794
1313aa35323
14a037d720
1562aa5081
hex3ef21ce0

1056054496 has 48 divisors (see below), whose sum is σ = 2380946400. Its totient is φ = 451676160.

The previous prime is 1056054491. The next prime is 1056054553. The reversal of 1056054496 is 6944506501.

It is a happy number.

It is a super-2 number, since 2×10560544962 = 2230502197043628032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056054491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112180 + ... + 121228.

It is an arithmetic number, because the mean of its divisors is an integer number (49603050).

Almost surely, 21056054496 is an apocalyptic number.

1056054496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1056054496 is an abundant number, since it is smaller than the sum of its proper divisors (1324891904).

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

1056054496 is an equidigital number, since it uses as much as digits as its factorization.

1056054496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 1056054496 is about 32496.9921069628. The cubic root of 1056054496 is about 1018.3461909410.

It can be divided in two parts, 10560 and 54496, that added together give a palindrome (65056).

The spelling of 1056054496 in words is "one billion, fifty-six million, fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 521 1042 2084 3647 4168 7294 8336 9049 14588 16672 18098 29176 36196 58352 63343 72392 116704 126686 144784 253372 289568 506744 1013488 2026976 4714529 9429058 18858116 33001703 37716232 66003406 75432464 132006812 150864928 264013624 528027248 1056054496