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4968920 = 2351123491
BaseRepresentation
bin10010111101000111011000
3100100110002002
4102331013120
52233001140
6254300132
760143435
oct22750730
910313062
104968920
112894250
1217b7648
13104c8b8
14934b8c
15682415
hex4bd1d8

4968920 has 64 divisors (see below), whose sum is σ = 12752640. Its totient is φ = 1724800.

The previous prime is 4968917. The next prime is 4968967. The reversal of 4968920 is 298694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9875 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (199260).

Almost surely, 24968920 is an apocalyptic number.

4968920 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 4968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376320).

4968920 is an abundant number, since it is smaller than the sum of its proper divisors (7783720).

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

4968920 is a wasteful number, since it uses less digits than its factorization.

4968920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 4968920 is about 2229.1074446962. The cubic root of 4968920 is about 170.6425509817.

The spelling of 4968920 in words is "four million, nine hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 491 506 920 982 1012 1265 1964 2024 2455 2530 3928 4910 5060 5401 9820 10120 10802 11293 19640 21604 22586 27005 43208 45172 54010 56465 90344 108020 112930 124223 216040 225860 248446 451720 496892 621115 993784 1242230 2484460 4968920