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402520116 = 223294572531
BaseRepresentation
bin10111111111011…
…111100000110100
31001001102010210110
4113333133200310
51311021120431
6103535223020
712655236015
oct2777374064
91031363713
10402520116
11197237359
12b2977a70
13655146ab
143b65d00c
1525510346
hex17fdf834

402520116 has 48 divisors (see below), whose sum is σ = 974111040. Its totient is φ = 129212160.

The previous prime is 402520109. The next prime is 402520117. The reversal of 402520116 is 611025204.

It is a junction number, because it is equal to n+sod(n) for n = 402520092 and 402520101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402520117) by changing a digit.

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, 157771 + ... + 160301.

It is an arithmetic number, because the mean of its divisors is an integer number (20293980).

Almost surely, 2402520116 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 402520116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487055520).

402520116 is an abundant number, since it is smaller than the sum of its proper divisors (571590924).

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

402520116 is a wasteful number, since it uses less digits than its factorization.

402520116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 402520116 is about 20062.9039772412. The cubic root of 402520116 is about 738.3504258938.

The spelling of 402520116 in words is "four hundred two million, five hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 457 914 1371 1828 2531 2742 5062 5484 7593 10124 13253 15186 26506 30372 39759 53012 73399 79518 146798 159036 220197 293596 440394 880788 1156667 2313334 3470001 4626668 6940002 13880004 33543343 67086686 100630029 134173372 201260058 402520116