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4974144 = 26373701
BaseRepresentation
bin10010111110011001000000
3100100201020120
4102332121000
52233133034
6254340240
760164610
oct22763100
910321216
104974144
11289816a
1217ba680
1310520a6
14936a40
15683c49
hex4be640

4974144 has 56 divisors (see below), whose sum is σ = 15044928. Its totient is φ = 1420800.

The previous prime is 4974139. The next prime is 4974157. The reversal of 4974144 is 4414794.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507 + ... + 3194.

Almost surely, 24974144 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 4974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522464).

4974144 is an abundant number, since it is smaller than the sum of its proper divisors (10070784).

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

4974144 is a wasteful number, since it uses less digits than its factorization.

4974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3713 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4974144 is about 2230.2789063254. The cubic root of 4974144 is about 170.7023308714.

The spelling of 4974144 in words is "four million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3701 7402 11103 14804 22206 25907 29608 44412 51814 59216 77721 88824 103628 118432 155442 177648 207256 236864 310884 355296 414512 621768 710592 829024 1243536 1658048 2487072 4974144