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4252560 = 2435132947
BaseRepresentation
bin10000001110001110010000
322000001102020
4100032032100
52042040220
6231051440
751101064
oct20161620
98001366
104252560
112445014
121510b80
13b5b810
147c9aa4
15590040
hex40e390

4252560 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 989184.

The previous prime is 4252559. The next prime is 4252583. The reversal of 4252560 is 652524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4252560.

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, 90457 + ... + 90503.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 24252560 is an apocalyptic number.

4252560 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 4252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4252560 is an abundant number, since it is smaller than the sum of its proper divisors (10746480).

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

4252560 is a wasteful number, since it uses less digits than its factorization.

4252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4252560 is about 2062.1736105382. The cubic root of 4252560 is about 162.0131066975.

The spelling of 4252560 in words is "four million, two hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 47 48 52 58 60 65 78 80 87 94 104 116 120 130 141 145 156 174 188 195 208 232 235 240 260 282 290 312 348 376 377 390 435 464 470 520 564 580 611 624 696 705 752 754 780 870 940 1040 1128 1131 1160 1222 1363 1392 1410 1508 1560 1740 1833 1880 1885 2256 2262 2320 2444 2726 2820 3016 3055 3120 3480 3666 3760 3770 4089 4524 4888 5452 5640 5655 6032 6110 6815 6960 7332 7540 8178 9048 9165 9776 10904 11280 11310 12220 13630 14664 15080 16356 17719 18096 18330 20445 21808 22620 24440 27260 29328 30160 32712 35438 36660 40890 45240 48880 53157 54520 65424 70876 73320 81780 88595 90480 106314 109040 141752 146640 163560 177190 212628 265785 283504 327120 354380 425256 531570 708760 850512 1063140 1417520 2126280 4252560