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400763412 = 223272923161
BaseRepresentation
bin10111111000110…
…010101000010100
31000221002220001100
4113320302220110
51310043412122
6103433430100
712634301310
oct2770625024
91027086040
10400763412
11196247535
12b226b330
136504ac1a
143b322b40
15252b4aac
hex17e32a14

400763412 has 216 divisors, whose sum is σ = 1258030592. Its totient is φ = 105235200.

The previous prime is 400763401. The next prime is 400763413. The reversal of 400763412 is 214367004.

It is a super-2 number, since 2×4007634122 = 321222624795763488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400763413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6569862 + ... + 6569922.

Almost surely, 2400763412 is an apocalyptic number.

400763412 is a gapful number since it is divisible by the number (42) 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 400763412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629015296).

400763412 is an abundant number, since it is smaller than the sum of its proper divisors (857267180).

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

400763412 is a wasteful number, since it uses less digits than its factorization.

400763412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400763412 is about 20019.0762024625. The cubic root of 400763412 is about 737.2747408188.

The spelling of 400763412 in words is "four hundred million, seven hundred sixty-three thousand, four hundred twelve".