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4250402560 = 28517316301
BaseRepresentation
bin1111110101010111…
…1111111100000000
3101222012212211012001
43331111333330000
532201100340220
61541432513344
7210220553125
oct37525777400
911865784161
104250402560
111891272398
129a754b854
13529775401
142c46d674c
1519d23880a
hexfd57ff00

4250402560 has 144 divisors (see below), whose sum is σ = 11129432832. Its totient is φ = 1548288000.

The previous prime is 4250402549. The next prime is 4250402561. The reversal of 4250402560 is 652040524.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250402561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671410 + ... + 677710.

It is an arithmetic number, because the mean of its divisors is an integer number (77287728).

Almost surely, 24250402560 is an apocalyptic number.

4250402560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564716416).

4250402560 is an abundant number, since it is smaller than the sum of its proper divisors (6879030272).

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

4250402560 is a wasteful number, since it uses less digits than its factorization.

4250402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4250402560 is about 65195.1114731772. Note that the first 3 decimals coincide. The cubic root of 4250402560 is about 1619.8570416957.

The spelling of 4250402560 in words is "four billion, two hundred fifty million, four hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 128 136 155 160 170 248 256 272 310 320 340 496 527 544 620 640 680 992 1054 1088 1240 1280 1360 1984 2108 2176 2480 2635 2720 3968 4216 4352 4960 5270 5440 6301 7936 8432 9920 10540 10880 12602 16864 19840 21080 21760 25204 31505 33728 39680 42160 50408 63010 67456 84320 100816 107117 126020 134912 168640 195331 201632 214234 252040 337280 390662 403264 428468 504080 535585 674560 781324 806528 856936 976655 1008160 1071170 1562648 1613056 1713872 1953310 2016320 2142340 3125296 3320627 3427744 3906620 4032640 4284680 6250592 6641254 6855488 7813240 8065280 8569360 12501184 13282508 13710976 15626480 16603135 17138720 25002368 26565016 27421952 31252960 33206270 34277440 50004736 53130032 62505920 66412540 68554880 106260064 125011840 132825080 137109760 212520128 250023680 265650160 425040256 531300320 850080512 1062600640 2125201280 4250402560