Search a number
-
+
400792056 = 233731411877
BaseRepresentation
bin10111111000111…
…001100111111000
31000221011100100020
4113320321213320
51310100321211
6103434210440
712634450650
oct2770714770
91027140306
10400792056
11196267005
12b2283a20
136505ac82
143b32d360
15252bd306
hex17e399f8

400792056 has 128 divisors (see below), whose sum is σ = 1211535360. Its totient is φ = 108057600.

The previous prime is 400792039. The next prime is 400792079. The reversal of 400792056 is 650297004.

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, 212590 + ... + 214466.

It is an arithmetic number, because the mean of its divisors is an integer number (9465120).

Almost surely, 2400792056 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 400792056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605767680).

400792056 is an abundant number, since it is smaller than the sum of its proper divisors (810743304).

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

400792056 is a wasteful number, since it uses less digits than its factorization.

400792056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 400792056 is about 20019.7916073070. The cubic root of 400792056 is about 737.2923056246.

The spelling of 400792056 in words is "four hundred million, seven hundred ninety-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 56 62 82 84 93 123 124 164 168 186 217 246 248 287 328 372 434 492 574 651 744 861 868 984 1148 1271 1302 1722 1736 1877 2296 2542 2604 3444 3754 3813 5084 5208 5631 6888 7508 7626 8897 10168 11262 13139 15016 15252 17794 22524 26278 26691 30504 35588 39417 45048 52556 53382 58187 71176 76957 78834 105112 106764 116374 153914 157668 174561 213528 230871 232748 307828 315336 349122 407309 461742 465496 538699 615656 698244 814618 923484 1077398 1221927 1396488 1616097 1629236 1846968 2154796 2385667 2443854 3232194 3258472 4309592 4771334 4887708 6464388 7157001 9542668 9775416 12928776 14314002 16699669 19085336 28628004 33399338 50099007 57256008 66798676 100198014 133597352 200396028 400792056