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4975560 = 2333517271
BaseRepresentation
bin10010111110101111001000
3100100210012000
4102332233020
52233204220
6254351000
760202002
oct22765710
910323160
104975560
112899237
1217bb460
131052925
14937372
15684390
hex4bebc8

4975560 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1244160.

The previous prime is 4975547. The next prime is 4975571. The reversal of 4975560 is 655794.

4975560 is a `hidden beast` number, since 4 + 97 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 18225 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 24975560 is an apocalyptic number.

4975560 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 4975560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

4975560 is an abundant number, since it is smaller than the sum of its proper divisors (12650040).

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

4975560 is a wasteful number, since it uses less digits than its factorization.

4975560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4975560 is about 2230.5963328222. The cubic root of 4975560 is about 170.7185273980.

The spelling of 4975560 in words is "four million, nine hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 271 306 340 360 408 459 510 540 542 612 680 765 813 918 1020 1080 1084 1224 1355 1530 1626 1836 2040 2168 2295 2439 2710 3060 3252 3672 4065 4590 4607 4878 5420 6120 6504 7317 8130 9180 9214 9756 10840 12195 13821 14634 16260 18360 18428 19512 23035 24390 27642 29268 32520 36585 36856 41463 46070 48780 55284 58536 69105 73170 82926 92140 97560 110568 124389 138210 146340 165852 184280 207315 248778 276420 292680 331704 414630 497556 552840 621945 829260 995112 1243890 1658520 2487780 4975560