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4965948 = 223613131
BaseRepresentation
bin10010111100011000111100
3100100022000000
4102330120330
52232402243
6254234300
760131661
oct22743074
910308000
104965948
112891a99
1217b5990
13104b440
14933a68
156815d3
hex4bc63c

4965948 has 84 divisors (see below), whose sum is σ = 14139048. Its totient is φ = 1516320.

The previous prime is 4965943. The next prime is 4965959. The reversal of 4965948 is 8495694.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965943) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37843 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (168322).

Almost surely, 24965948 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 4965948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069524).

4965948 is an abundant number, since it is smaller than the sum of its proper divisors (9173100).

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

4965948 is a wasteful number, since it uses less digits than its factorization.

4965948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 4965948 is about 2228.4407104520. The cubic root of 4965948 is about 170.6085227417.

The spelling of 4965948 in words is "four million, nine hundred sixty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 131 156 162 234 243 262 324 351 393 468 486 524 702 729 786 972 1053 1179 1404 1458 1572 1703 2106 2358 2916 3159 3406 3537 4212 4716 5109 6318 6812 7074 9477 10218 10611 12636 14148 15327 18954 20436 21222 30654 31833 37908 42444 45981 61308 63666 91962 95499 127332 137943 183924 190998 275886 381996 413829 551772 827658 1241487 1655316 2482974 4965948