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4955076 = 223272532
BaseRepresentation
bin10010111001101111000100
3100022202002100
4102321233010
52232030301
6254112100
760055200
oct22715704
910282070
104955076
112884905
1217ab630
1310464c9
1492db00
1567d286
hex4b9bc4

4955076 has 81 divisors (see below), whose sum is σ = 14850381. Its totient is φ = 1389024.

The previous prime is 4955059. The next prime is 4955081. The reversal of 4955076 is 6705594.

The square root of 4955076 is 2226.

It is a perfect power (a square), and thus also a powerful number.

4955076 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 1382976 = 1890^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4955076.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93466 + ... + 93518.

Almost surely, 24955076 is an apocalyptic number.

4955076 is the 2226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955076

4955076 is an abundant number, since it is smaller than the sum of its proper divisors (9895305).

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

4955076 is a wasteful number, since it uses less digits than its factorization.

4955076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 4955076 is about 170.4839267849.

Multiplying 4955076 by its sum of digits (36), we get a square (178382736 = 133562).

4955076 divided by its sum of digits (36) gives a square (137641 = 3712).

The spelling of 4955076 in words is "four million, nine hundred fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 882 954 1113 1484 1764 1908 2226 2597 2809 3339 4452 5194 5618 6678 7791 8427 10388 11236 13356 15582 16854 19663 23373 25281 31164 33708 39326 46746 50562 58989 78652 93492 101124 117978 137641 176967 235956 275282 353934 412923 550564 707868 825846 1238769 1651692 2477538 4955076