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405315064 = 23721193997
BaseRepresentation
bin11000001010001…
…001110111111000
31001020200010202001
4120022021313320
51312230040224
6104115150344
713021056400
oct3012116770
91036603661
10405315064
11198876230
12b38a53b4
1365c828cb
143bb89800
15258b3544
hex18289df8

405315064 has 48 divisors (see below), whose sum is σ = 964419480. Its totient is φ = 157913280.

The previous prime is 405315061. The next prime is 405315101. The reversal of 405315064 is 460513504.

It is a super-2 number, since 2×4053150642 = 328560602210648192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405315061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42687 + ... + 51310.

Almost surely, 2405315064 is an apocalyptic number.

405315064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405315064 is an abundant number, since it is smaller than the sum of its proper divisors (559104416).

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

405315064 is a wasteful number, since it uses less digits than its factorization.

405315064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94028 (or 94017 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 405315064 is about 20132.4381037171. The cubic root of 405315064 is about 740.0554280371.

Adding to 405315064 its reverse (460513504), we get a palindrome (865828568).

The spelling of 405315064 in words is "four hundred five million, three hundred fifteen thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 93997 187994 375988 657979 751976 1033967 1315958 2067934 2631916 4135868 4605853 5263832 7237769 8271736 9211706 14475538 18423412 28951076 36846824 50664383 57902152 101328766 202657532 405315064