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4974880 = 255173159
BaseRepresentation
bin10010111110100100100000
3100100202020211
4102332210200
52233144010
6254343504
760200011
oct22764440
910322224
104974880
112898779
1217bab94
131052521
14937008
1568408a
hex4be920

4974880 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1781760.

The previous prime is 4974811. The next prime is 4974883. The reversal of 4974880 is 884794.

4974880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4974883) 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, 84291 + ... + 84349.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24974880 is an apocalyptic number.

4974880 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 4974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4974880 is an abundant number, since it is smaller than the sum of its proper divisors (8088800).

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

4974880 is a wasteful number, since it uses less digits than its factorization.

4974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 4974880 is about 2230.4439020070. The cubic root of 4974880 is about 170.7107497886.

The spelling of 4974880 in words is "four million, nine hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 59 62 68 80 85 118 124 136 155 160 170 236 248 272 295 310 340 472 496 527 544 590 620 680 944 992 1003 1054 1180 1240 1360 1829 1888 2006 2108 2360 2480 2635 2720 3658 4012 4216 4720 4960 5015 5270 7316 8024 8432 9145 9440 10030 10540 14632 16048 16864 18290 20060 21080 29264 31093 32096 36580 40120 42160 58528 62186 73160 80240 84320 124372 146320 155465 160480 248744 292640 310930 497488 621860 994976 1243720 2487440 4974880