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402774016 = 2111931019
BaseRepresentation
bin11000000000011…
…101100000000000
31001001220001002011
4120000131200000
51311102232031
6103544502304
712660344161
oct3000354000
91031801064
10402774016
111973a0097
12b2a7a994
13655a3128
143b6c7768
15255606b1
hex1801d800

402774016 has 48 divisors (see below), whose sum is σ = 810318600. Its totient is φ = 200146944.

The previous prime is 402774007. The next prime is 402774019. The reversal of 402774016 is 610477204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402774019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394755 + ... + 395773.

Almost surely, 2402774016 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 402774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405159300).

402774016 is an abundant number, since it is smaller than the sum of its proper divisors (407544584).

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

402774016 is a wasteful number, since it uses less digits than its factorization.

402774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 402774016 is about 20069.2305781761. The cubic root of 402774016 is about 738.5056378223.

The spelling of 402774016 in words is "four hundred two million, seven hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1019 1024 1544 2038 2048 3088 4076 6176 8152 12352 16304 24704 32608 49408 65216 98816 130432 196667 197632 260864 393334 395264 521728 786668 1043456 1573336 2086912 3146672 6293344 12586688 25173376 50346752 100693504 201387008 402774016