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402142304 = 25232983227
BaseRepresentation
bin10111111110000…
…011010001100000
31001000200221112102
4113332003101200
51310422023204
6103523145532
712652103354
oct2776032140
91030627472
10402142304
11196aa9513
12b28152a8
1365411735
143b5a1464
152548841e
hex17f83460

402142304 has 96 divisors (see below), whose sum is σ = 868734720. Its totient is φ = 182651392.

The previous prime is 402142283. The next prime is 402142313. The reversal of 402142304 is 403241204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771439 + ... + 1771665.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2402142304 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 402142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

402142304 is an abundant number, since it is smaller than the sum of its proper divisors (466592416).

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

402142304 is a wasteful number, since it uses less digits than its factorization.

402142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 402142304 is about 20053.4860809785. The cubic root of 402142304 is about 738.1193442959.

Adding to 402142304 its reverse (403241204), we get a palindrome (805383508).

The spelling of 402142304 in words is "four hundred two million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 29 32 46 58 83 92 116 166 184 227 232 332 368 454 464 664 667 736 908 928 1328 1334 1816 1909 2407 2656 2668 3632 3818 4814 5221 5336 6583 7264 7636 9628 10442 10672 13166 15272 18841 19256 20884 21344 26332 30544 37682 38512 41768 52664 55361 61088 75364 77024 83536 105328 110722 150728 151409 167072 210656 221444 301456 302818 433343 442888 546389 602912 605636 866686 885776 1092778 1211272 1733372 1771552 2185556 2422544 3466744 4371112 4845088 6933488 8742224 12566947 13866976 17484448 25133894 50267788 100535576 201071152 402142304