Search a number
-
+
402014008 = 231119298291
BaseRepresentation
bin10111111101100…
…011111100111000
31001000110102112201
4113331203330320
51310403422013
6103520315544
712651030334
oct2775437470
91030412481
10402014008
11196a21090
12b2772bb4
1365398216
143b56a7c4
15254603dd
hex17f63f38

402014008 has 64 divisors (see below), whose sum is σ = 895536000. Its totient is φ = 167126400.

The previous prime is 402013981. The next prime is 402014051. The reversal of 402014008 is 800410204.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44343 + ... + 52633.

It is an arithmetic number, because the mean of its divisors is an integer number (13992750).

Almost surely, 2402014008 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 402014008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447768000).

402014008 is an abundant number, since it is smaller than the sum of its proper divisors (493521992).

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

402014008 is a wasteful number, since it uses less digits than its factorization.

402014008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 402014008 is about 20050.2869804898. The cubic root of 402014008 is about 738.0408415448.

The spelling of 402014008 in words is "four hundred two million, fourteen thousand, eight".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 1102 1276 1672 2204 2552 4408 6061 8291 12122 16582 24244 33164 48488 66328 91201 157529 182402 240439 315058 364804 480878 630116 729608 961756 1260232 1732819 1923512 2644829 3465638 4568341 5289658 6931276 9136682 10579316 13862552 18273364 21158632 36546728 50251751 100503502 201007004 402014008