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4970208 = 253232251
BaseRepresentation
bin10010111101011011100000
3100100111211210
4102331123200
52233021313
6254310120
760150255
oct22753340
910314753
104970208
112895211
1217b8340
131050369
1493542c
156829c3
hex4bd6e0

4970208 has 48 divisors (see below), whose sum is σ = 13620096. Its totient is φ = 1584000.

The previous prime is 4970177. The next prime is 4970209. The reversal of 4970208 is 8020794.

4970208 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4970209) 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, 1083 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (283752).

Almost surely, 24970208 is an apocalyptic number.

4970208 is a gapful number since it is divisible by the number (48) 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 4970208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810048).

4970208 is an abundant number, since it is smaller than the sum of its proper divisors (8649888).

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

4970208 is a wasteful number, since it uses less digits than its factorization.

4970208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4970208 is about 2229.3963308483. The cubic root of 4970208 is about 170.6572938646.

The spelling of 4970208 in words is "four million, nine hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 2251 4502 6753 9004 13506 18008 27012 36016 51773 54024 72032 103546 108048 155319 207092 216096 310638 414184 621276 828368 1242552 1656736 2485104 4970208