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402013312 = 2729108301
BaseRepresentation
bin10111111101100…
…011110010000000
31001000110101120221
4113331203302000
51310403411222
6103520312424
712651025321
oct2775436200
91030411527
10402013312
11196a20608
12b2772714
1365397acc
143b56a448
15254600c7
hex17f63c80

402013312 has 32 divisors (see below), whose sum is σ = 828510300. Its totient is φ = 194073600.

The previous prime is 402013277. The next prime is 402013319. The reversal of 402013312 is 213310204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 373880896 + 28132416 = 19336^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4020133122 = 323229406050418688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (402013319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50439 + ... + 57862.

Almost surely, 2402013312 is an apocalyptic number.

It is an amenable number.

402013312 is an abundant number, since it is smaller than the sum of its proper divisors (426496988).

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

402013312 is a wasteful number, since it uses less digits than its factorization.

402013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108344 (or 108332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 402013312 is about 20050.2696241223. The cubic root of 402013312 is about 738.0404156253.

Adding to 402013312 its reverse (213310204), we get a palindrome (615323516).

The spelling of 402013312 in words is "four hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 108301 216602 433204 866408 1732816 3140729 3465632 6281458 6931264 12562916 13862528 25125832 50251664 100503328 201006656 402013312