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42913416 = 2337313401
BaseRepresentation
bin1010001110110…
…0111010001000
32222202020010210
42203230322020
541441212131
64131441120
71030521000
oct243547210
988666123
1042913416
1122250537
12124561a0
138b76970
1459b1000
153b7a146
hex28ece88

42913416 has 128 divisors (see below), whose sum is σ = 135072000. Its totient is φ = 11289600.

The previous prime is 42913399. The next prime is 42913459. The reversal of 42913416 is 61431924.

It is a super-2 number, since 2×429134162 = 3683122545578112, which contains 22 as substring.

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, 106816 + ... + 107216.

It is an arithmetic number, because the mean of its divisors is an integer number (1055250).

Almost surely, 242913416 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 42913416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67536000).

42913416 is an abundant number, since it is smaller than the sum of its proper divisors (92158584).

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

42913416 is a wasteful number, since it uses less digits than its factorization.

42913416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 42913416 is about 6550.8332294449. The cubic root of 42913416 is about 350.1045021282.

The spelling of 42913416 in words is "forty-two million, nine hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 401 546 588 637 686 728 802 1029 1092 1176 1203 1274 1372 1604 1911 2058 2184 2406 2548 2744 2807 3208 3822 4116 4459 4812 5096 5213 5614 7644 8232 8421 8918 9624 10426 11228 13377 15288 15639 16842 17836 19649 20852 22456 26754 31278 33684 35672 36491 39298 41704 53508 58947 62556 67368 72982 78596 107016 109473 117894 125112 137543 145964 157192 218946 235788 255437 275086 291928 412629 437892 471576 510874 550172 766311 825258 875784 1021748 1100344 1532622 1650516 1788059 2043496 3065244 3301032 3576118 5364177 6130488 7152236 10728354 14304472 21456708 42913416