Search a number
-
+
4977144 = 233269127
BaseRepresentation
bin10010111111000111111000
3100100212100200
4102333013320
52233232034
6254402200
760206424
oct22770770
910325320
104977144
11289a447
121800360
131053573
14937b84
15684a99
hex4bf1f8

4977144 has 24 divisors (see below), whose sum is σ = 13479960. Its totient is φ = 1659024.

The previous prime is 4977139. The next prime is 4977157. The reversal of 4977144 is 4417794.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 4977099 and 4977108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34492 + ... + 34635.

It is an arithmetic number, because the mean of its divisors is an integer number (561665).

Almost surely, 24977144 is an apocalyptic number.

It is an amenable number.

4977144 is an abundant number, since it is smaller than the sum of its proper divisors (8502816).

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

4977144 is a wasteful number, since it uses less digits than its factorization.

4977144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69139 (or 69132 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4977144 is about 2230.9513665699. The cubic root of 4977144 is about 170.7366419055.

The spelling of 4977144 in words is "four million, nine hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 69127 138254 207381 276508 414762 553016 622143 829524 1244286 1659048 2488572 4977144