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914701242 = 237135373433
BaseRepresentation
bin110110100001010…
…011101110111010
32100202011122012210
4312201103232322
53333130414432
6230433115550
731444555320
oct6641235672
92322148183
10914701242
1142a363644
122163b8bb6
13117673050
14896a5d10
15554828cc
hex36853bba

914701242 has 128 divisors (see below), whose sum is σ = 2330850816. Its totient is φ = 232906752.

The previous prime is 914701241. The next prime is 914701243. The reversal of 914701242 is 242107419.

It is an interprime number because it is at equal distance from previous prime (914701241) and next prime (914701243).

It is not an unprimeable number, because it can be changed into a prime (914701241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2112258 + ... + 2112690.

It is an arithmetic number, because the mean of its divisors is an integer number (18209772).

Almost surely, 2914701242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914701242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165425408).

914701242 is an abundant number, since it is smaller than the sum of its proper divisors (1416149574).

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

914701242 is a wasteful number, since it uses less digits than its factorization.

914701242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 914701242 is about 30244.0282039281. The cubic root of 914701242 is about 970.7180151598.

The spelling of 914701242 in words is "nine hundred fourteen million, seven hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 73 78 91 106 146 159 182 219 273 318 371 433 438 511 546 689 742 866 949 1022 1113 1299 1378 1533 1898 2067 2226 2598 2847 3031 3066 3869 4134 4823 5629 5694 6062 6643 7738 9093 9646 11258 11607 13286 14469 16887 18186 19929 22949 23214 27083 28938 31609 33774 39403 39858 45898 50297 54166 63218 68847 78806 81249 94827 100594 118209 137694 150891 160643 162498 189654 221263 236418 298337 301782 321286 352079 410917 442526 481929 596674 663789 704158 821834 895011 963858 1056237 1232751 1327578 1675277 1790022 2088359 2112474 2465502 2876419 3350554 4176718 5025831 5752838 6265077 8629257 10051662 11726939 12530154 17258514 21778601 23453878 35180817 43557202 65335803 70361634 130671606 152450207 304900414 457350621 914701242