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428914794 = 237111797563
BaseRepresentation
bin11001100100001…
…011100001101010
31002220002010111010
4121210023201222
51334300233134
6110321044350
713425500310
oct3144134152
91086063433
10428914794
11200125040
12bb7866b6
136ab26649
1440d700b0
15279c5ce9
hex1990b86a

428914794 has 128 divisors (see below), whose sum is σ = 1146120192. Its totient is φ = 103587840.

The previous prime is 428914699. The next prime is 428914807. The reversal of 428914794 is 497419824.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761557 + ... + 762119.

It is an arithmetic number, because the mean of its divisors is an integer number (8954064).

Almost surely, 2428914794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428914794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573060096).

428914794 is an abundant number, since it is smaller than the sum of its proper divisors (717205398).

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

428914794 is a wasteful number, since it uses less digits than its factorization.

428914794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its digits is 580608, while the sum is 48.

The square root of 428914794 is about 20710.2581828426. The cubic root of 428914794 is about 754.1487380915.

The spelling of 428914794 in words is "four hundred twenty-eight million, nine hundred fourteen thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 97 102 119 154 187 194 231 238 291 357 374 462 561 563 582 679 714 1067 1122 1126 1309 1358 1649 1689 2037 2134 2618 3201 3298 3378 3927 3941 4074 4947 6193 6402 7469 7854 7882 9571 9894 11543 11823 12386 14938 18139 18579 19142 22407 23086 23646 28713 34629 36278 37158 43351 44814 54417 54611 57426 66997 69258 86702 105281 108834 109222 126973 130053 133994 163833 200991 210562 253946 260106 315843 327666 380919 382277 401982 600721 631686 736967 761838 764554 928387 1146831 1201442 1473934 1802163 1856774 2210901 2293662 2785161 3604326 4205047 4421802 5570322 6498709 8410094 10212257 12615141 12997418 19496127 20424514 25230282 30636771 38992254 61273542 71485799 142971598 214457397 428914794