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1052418816 = 28321929829
BaseRepresentation
bin111110101110101…
…010001100000000
32201100022102012200
4332232222030000
54123404400231
6252232553200
735036261301
oct7656521400
92640272180
101052418816
114a0076919
12254552800
1313a061537
149dab47a8
15625d7be6
hex3ebaa300

1052418816 has 216 divisors, whose sum is σ = 3308214000. Its totient is φ = 320495616.

The previous prime is 1052418769. The next prime is 1052418919. The reversal of 1052418816 is 6188142501.

It is a super-2 number, since 2×10524188162 = 2215170728541683712, 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, 1269090 + ... + 1269918.

Almost surely, 21052418816 is an apocalyptic number.

1052418816 is a gapful number since it is divisible by the number (16) 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 1052418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654107000).

1052418816 is an abundant number, since it is smaller than the sum of its proper divisors (2255795184).

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

1052418816 is a wasteful number, since it uses less digits than its factorization.

1052418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1052418816 is about 32441.0051632190. The cubic root of 1052418816 is about 1017.1762267745.

The spelling of 1052418816 in words is "one billion, fifty-two million, four hundred eighteen thousand, eight hundred sixteen".