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402021004 = 2271111311551
BaseRepresentation
bin10111111101100…
…101101010001100
31001000110210010211
4113331211222030
51310404133004
6103520412204
712651056620
oct2775455214
91030423124
10402021004
11196a26370
12b2777064
136539b468
143b56d180
1525462504
hex17f65a8c

402021004 has 48 divisors (see below), whose sum is σ = 884975616. Its totient is φ = 155232000.

The previous prime is 402020999. The next prime is 402021007. The reversal of 402021004 is 400120204.

It is not an unprimeable number, because it can be changed into a prime (402021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29029 + ... + 40579.

It is an arithmetic number, because the mean of its divisors is an integer number (18436992).

Almost surely, 2402021004 is an apocalyptic number.

402021004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442487808).

402021004 is an abundant number, since it is smaller than the sum of its proper divisors (482954612).

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

402021004 is a wasteful number, since it uses less digits than its factorization.

402021004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 402021004 is about 20050.4614410741. The cubic root of 402021004 is about 738.0451227420.

Adding to 402021004 its reverse (400120204), we get a palindrome (802141208).

The spelling of 402021004 in words is "four hundred two million, twenty-one thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 308 452 791 1243 1582 2486 3164 4972 8701 11551 17402 23102 34804 46204 80857 127061 161714 254122 323428 508244 889427 1305263 1778854 2610526 3557708 5221052 9136841 14357893 18273682 28715786 36547364 57431572 100505251 201010502 402021004