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426053376 = 2832726417
BaseRepresentation
bin11001011001010…
…000111100000000
31002200200202100200
4121121100330000
51333032202001
6110135445200
713362252060
oct3131207400
91080622320
10426053376
111a9550231
12ba826800
136a3640b8
14408273a0
152760d086
hex19650f00

426053376 has 108 divisors (see below), whose sum is σ = 1403958192. Its totient is φ = 121724928.

The previous prime is 426053347. The next prime is 426053401. The reversal of 426053376 is 673350624.

426053376 is a `hidden beast` number, since 42 + 605 + 3 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 426053376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2920 + ... + 29336.

Almost surely, 2426053376 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 426053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701979096).

426053376 is an abundant number, since it is smaller than the sum of its proper divisors (977904816).

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

426053376 is a wasteful number, since it uses less digits than its factorization.

426053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26446 (or 26429 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 426053376 is about 20641.0604378748. The cubic root of 426053376 is about 752.4679447573.

The spelling of 426053376 in words is "four hundred twenty-six million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 26417 52834 79251 105668 158502 184919 211336 237753 317004 369838 422672 475506 554757 634008 739676 845344 951012 1109514 1268016 1479352 1664271 1690688 1902024 2219028 2536032 2958704 3328542 3381376 3804048 4438056 5072064 5917408 6657084 6762752 7608096 8876112 10144128 11834816 13314168 15216192 17752224 20288256 23669632 26628336 30432384 35504448 47339264 53256672 60864768 71008896 106513344 142017792 213026688 426053376