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402140928 = 28371931127
BaseRepresentation
bin10111111110000…
…010111100000000
31001000200212122110
4113332002330000
51310422002203
6103523135320
712652066350
oct2776027400
91030625573
10402140928
11196aa8482
12b2814540
1365410c17
143b5a0b60
1525487d03
hex17f82f00

402140928 has 288 divisors, whose sum is σ = 1339555840. Its totient is φ = 104509440.

The previous prime is 402140887. The next prime is 402140957. The reversal of 402140928 is 829041204.

It is a junction number, because it is equal to n+sod(n) for n = 402140895 and 402140904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3166401 + ... + 3166527.

Almost surely, 2402140928 is an apocalyptic number.

402140928 is a gapful number since it is divisible by the number (48) 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 402140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669777920).

402140928 is an abundant number, since it is smaller than the sum of its proper divisors (937414912).

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

402140928 is a wasteful number, since it uses less digits than its factorization.

402140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 402140928 is about 20053.4517726999. The cubic root of 402140928 is about 738.1185024270.

The spelling of 402140928 in words is "four hundred two million, one hundred forty thousand, nine hundred twenty-eight".