Search a number
-
+
4738880 = 26559251
BaseRepresentation
bin10010000100111101000000
322220202112002
4102010331000
52203121010
6245323132
755164656
oct22047500
98822462
104738880
112747433
1217064a8
13c9bc93
148b4dd6
156391a5
hex484f40

4738880 has 56 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1856000.

The previous prime is 4738873. The next prime is 4738883. The reversal of 4738880 is 888374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18755 + ... + 19005.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 24738880 is an apocalyptic number.

4738880 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 4738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4738880 is an abundant number, since it is smaller than the sum of its proper divisors (6782560).

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

4738880 is a wasteful number, since it uses less digits than its factorization.

4738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 4738880 is about 2176.8968739929. The cubic root of 4738880 is about 167.9674918204.

The spelling of 4738880 in words is "four million, seven hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 251 295 320 472 502 590 944 1004 1180 1255 1888 2008 2360 2510 3776 4016 4720 5020 8032 9440 10040 14809 16064 18880 20080 29618 40160 59236 74045 80320 118472 148090 236944 296180 473888 592360 947776 1184720 2369440 4738880