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402145664 = 273141763
BaseRepresentation
bin10111111110000…
…100000110000000
31001000201010010212
4113332010012000
51310422130124
6103523213252
712652116224
oct2776040600
91030633125
10402145664
11197000a98
12b2817228
136541311b
143b5a2784
152548940e
hex17f84180

402145664 has 16 divisors (see below), whose sum is σ = 801149820. Its totient is φ = 201072768.

The previous prime is 402145663. The next prime is 402145687. The reversal of 402145664 is 466541204.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×4021456643 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 402145664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402145661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1570754 + ... + 1571009.

Almost surely, 2402145664 is an apocalyptic number.

It is an amenable number.

402145664 is a deficient number, since it is larger than the sum of its proper divisors (399004156).

402145664 is an equidigital number, since it uses as much as digits as its factorization.

402145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141777 (or 3141765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 402145664 is about 20053.5698567612. The cubic root of 402145664 is about 738.1214000144.

Adding to 402145664 its reverse (466541204), we get a palindrome (868686868).

The spelling of 402145664 in words is "four hundred two million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 3141763 6283526 12567052 25134104 50268208 100536416 201072832 402145664