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400646142 = 233134712143
BaseRepresentation
bin10111111000010…
…101111111111110
31000220212221012000
4113320111333332
51310031134032
6103431123130
712633302361
oct2770257776
91026787160
10400646142
11196177416
12b22134a6
1365009730
143b2d20d8
152528ee7c
hex17e15ffe

400646142 has 64 divisors (see below), whose sum is σ = 979292160. Its totient is φ = 120642912.

The previous prime is 400646111. The next prime is 400646143. The reversal of 400646142 is 241646004.

400646142 is a `hidden beast` number, since 4 + 0 + 0 + 646 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400646143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26923 + ... + 39065.

It is an arithmetic number, because the mean of its divisors is an integer number (15301440).

Almost surely, 2400646142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400646142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489646080).

400646142 is an abundant number, since it is smaller than the sum of its proper divisors (578646018).

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

400646142 is a wasteful number, since it uses less digits than its factorization.

400646142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400646142 is about 20016.1470318341. The cubic root of 400646142 is about 737.2028208773.

The spelling of 400646142 in words is "four hundred million, six hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2538 3666 5499 10998 12143 16497 24286 32994 36429 72858 109287 157859 218574 315718 327861 473577 570721 655722 947154 1141442 1420731 1712163 2841462 3424326 4262193 5136489 7419373 8524386 10272978 14838746 15409467 22258119 30818934 44516238 66774357 133548714 200323071 400646142