Search a number
-
+
4942944 = 25341907
BaseRepresentation
bin10010110110110001100000
3100022010110000
4102312301200
52231133234
6253540000
760004626
oct22666140
910263400
104942944
112876786
1217a4600
131040b26
14929516
15679899
hex4b6c60

4942944 has 60 divisors (see below), whose sum is σ = 14544684. Its totient is φ = 1646784.

The previous prime is 4942933. The next prime is 4942957. The reversal of 4942944 is 4492494.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4942899 and 4942908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1639 + ... + 3545.

Almost surely, 24942944 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 4942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272342).

4942944 is an abundant number, since it is smaller than the sum of its proper divisors (9601740).

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

4942944 is a wasteful number, since it uses less digits than its factorization.

4942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1912 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4942944 is about 2223.2732625568. The cubic root of 4942944 is about 170.3446755527.

It can be divided in two parts, 4942 and 944, that added together give a triangular number (5886 = T108).

The spelling of 4942944 in words is "four million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1907 2592 3814 5721 7628 11442 15256 17163 22884 30512 34326 45768 51489 61024 68652 91536 102978 137304 154467 183072 205956 274608 308934 411912 549216 617868 823824 1235736 1647648 2471472 4942944