Search a number
-
+
4952508 = 22311172207
BaseRepresentation
bin10010111001000110111100
3100022121120020
4102321012330
52231440013
6254052140
760044541
oct22710674
910277506
104952508
112882990
1217aa050
1310452a2
1492cbc8
1567c623
hex4b91bc

4952508 has 48 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 1411840.

The previous prime is 4952503. The next prime is 4952543. The reversal of 4952508 is 8052594.

4952508 is digitally balanced in base 4 and base 5, because in such bases 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4952501) 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, 1141 + ... + 3347.

It is an arithmetic number, because the mean of its divisors is an integer number (278208).

Almost surely, 24952508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4952508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992).

4952508 is an abundant number, since it is smaller than the sum of its proper divisors (8401476).

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

4952508 is a wasteful number, since it uses less digits than its factorization.

4952508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4952508 is about 2225.4231058385. The cubic root of 4952508 is about 170.4544702319.

It can be divided in two parts, 4952 and 508, that added together give a triangular number (5460 = T104).

The spelling of 4952508 in words is "four million, nine hundred fifty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2207 2244 4414 6621 8828 13242 24277 26484 37519 48554 72831 75038 97108 112557 145662 150076 225114 291324 412709 450228 825418 1238127 1650836 2476254 4952508