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400273016 = 231113734793
BaseRepresentation
bin10111110110111…
…010111001111000
31000220011222100112
4113312322321320
51304432214031
6103415123452
712630156503
oct2766727170
91026158315
10400273016
11195a42050
12b2073588
1364c08950
143b23613a
152521962b
hex17dbae78

400273016 has 64 divisors (see below), whose sum is σ = 893985120. Its totient is φ = 165611520.

The previous prime is 400273001. The next prime is 400273021. The reversal of 400273016 is 610372004.

It is a junction number, because it is equal to n+sod(n) for n = 400272982 and 400273000.

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, 81116 + ... + 85908.

Almost surely, 2400273016 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 400273016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446992560).

400273016 is an abundant number, since it is smaller than the sum of its proper divisors (493712104).

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

400273016 is a wasteful number, since it uses less digits than its factorization.

400273016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 400273016 is about 20006.8242357452. The cubic root of 400273016 is about 736.9738948610.

The spelling of 400273016 in words is "four hundred million, two hundred seventy-three thousand, sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 143 146 286 292 572 584 803 949 1144 1606 1898 3212 3796 4793 6424 7592 9586 10439 19172 20878 38344 41756 52723 62309 83512 105446 124618 210892 249236 349889 421784 498472 685399 699778 1370798 1399556 2741596 2799112 3848779 4548557 5483192 7697558 9097114 15395116 18194228 30790232 36388456 50034127 100068254 200136508 400273016