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4790560 = 25579379
BaseRepresentation
bin10010010001100100100000
3100000101102011
4102101210200
52211244220
6250402304
755501435
oct22214440
910011364
104790560
112782245
121730394
13cb9668
148c9b8c
1564965a
hex491920

4790560 has 48 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1886976.

The previous prime is 4790557. The next prime is 4790573. The reversal of 4790560 is 650974.

It is a super-2 number, since 2×47905602 = 45898930227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12451 + ... + 12829.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 24790560 is an apocalyptic number.

4790560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4790560 is the 1264-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

4790560 is an abundant number, since it is smaller than the sum of its proper divisors (6700640).

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

4790560 is a wasteful number, since it uses less digits than its factorization.

4790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4790560 is about 2188.7347943504. The cubic root of 4790560 is about 168.5758770936.

The spelling of 4790560 in words is "four million, seven hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 379 395 632 758 790 1264 1516 1580 1895 2528 3032 3160 3790 6064 6320 7580 12128 12640 15160 29941 30320 59882 60640 119764 149705 239528 299410 479056 598820 958112 1197640 2395280 4790560