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402685164 = 2232719312713
BaseRepresentation
bin11000000000000…
…111110011101100
31001001201112012100
4120000013303230
51311041411124
6103542535100
712656524140
oct3000076354
91031645170
10402685164
1119733a362
12b2a37490
136557185b
143b6a3220
15255441c9
hex18007cec

402685164 has 144 divisors (see below), whose sum is σ = 1264506880. Its totient is φ = 105442560.

The previous prime is 402685163. The next prime is 402685169. The reversal of 402685164 is 461586204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402685163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147072 + ... + 149784.

Almost surely, 2402685164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402685164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632253440).

402685164 is an abundant number, since it is smaller than the sum of its proper divisors (861821716).

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

402685164 is a wasteful number, since it uses less digits than its factorization.

402685164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 402685164 is about 20067.0168186504. The cubic root of 402685164 is about 738.4513290155.

The spelling of 402685164 in words is "four hundred two million, six hundred eighty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1596 1767 1953 2356 2394 2604 2713 3534 3906 4123 4788 5301 5426 7068 7812 8139 8246 10602 10852 12369 16278 16492 18991 21204 24417 24738 32556 37107 37982 48834 49476 51547 56973 74214 75964 84103 97668 103094 113946 148428 154641 168206 170919 206188 227892 252309 309282 336412 341838 360829 463923 504618 588721 618564 683676 721658 756927 927846 1009236 1082487 1177442 1443316 1513854 1597957 1766163 1855692 2164974 2354884 3027708 3195914 3247461 3532326 4329948 4793871 5298489 6391828 6494922 7064652 9587742 10596978 11185699 12989844 14381613 19175484 21193956 22371398 28763226 33557097 44742796 57526452 67114194 100671291 134228388 201342582 402685164