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4952200 = 2352112251
BaseRepresentation
bin10010111001000010001000
3100022121010211
4102321002020
52231432300
6254050504
760043621
oct22710210
910277124
104952200
112882730
1217a9a34
1310450c6
1492ca48
1567c4ba
hex4b9088

4952200 has 48 divisors (see below), whose sum is σ = 12566160. Its totient is φ = 1800000.

The previous prime is 4952183. The next prime is 4952201. The reversal of 4952200 is 22594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4952201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075 + ... + 3325.

It is an arithmetic number, because the mean of its divisors is an integer number (261795).

Almost surely, 24952200 is an apocalyptic number.

4952200 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 4952200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283080).

4952200 is an abundant number, since it is smaller than the sum of its proper divisors (7613960).

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

4952200 is a wasteful number, since it uses less digits than its factorization.

4952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4952200 is about 2225.3539044386. The cubic root of 4952200 is about 170.4509365970.

Adding to 4952200 its reverse (22594), we get a palindrome (4974794).

The spelling of 4952200 in words is "four million, nine hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2251 4502 9004 11255 18008 22510 24761 45020 49522 56275 90040 99044 112550 123805 198088 225100 247610 450200 495220 619025 990440 1238050 2476100 4952200