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4943952 = 24321319139
BaseRepresentation
bin10010110111000001010000
3100022011211100
4102313001100
52231201302
6253544400
760010566
oct22670120
910264740
104943952
112877512
1217a5100
131041420
14929a36
15679d1c
hex4b7050

4943952 has 120 divisors (see below), whose sum is σ = 15797600. Its totient is φ = 1430784.

The previous prime is 4943927. The next prime is 4943959. The reversal of 4943952 is 2593494.

It is a super-2 number, since 2×49439522 = 48885322756608, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 47 + 92 + 48 + 314 + 93 + 57 + 27 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4943959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35499 + ... + 35637.

Almost surely, 24943952 is an apocalyptic number.

It is a pronic number, being equal to 2223×2224.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4943952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898800).

4943952 is an abundant number, since it is smaller than the sum of its proper divisors (10853648).

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

4943952 is a wasteful number, since it uses less digits than its factorization.

4943952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4943952 is about 2223.4999437823. The cubic root of 4943952 is about 170.3562540616.

The spelling of 4943952 in words is "four million, nine hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 139 144 152 156 171 208 228 234 247 278 304 312 342 417 456 468 494 556 624 684 741 834 912 936 988 1112 1251 1368 1482 1668 1807 1872 1976 2223 2224 2502 2641 2736 2964 3336 3614 3952 4446 5004 5282 5421 5928 6672 7228 7923 8892 10008 10564 10842 11856 14456 15846 16263 17784 20016 21128 21684 23769 28912 31692 32526 34333 35568 42256 43368 47538 63384 65052 68666 86736 95076 102999 126768 130104 137332 190152 205998 260208 274664 308997 380304 411996 549328 617994 823992 1235988 1647984 2471976 4943952