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4985952 = 253167311
BaseRepresentation
bin10011000001010001100000
3100101022102220
4103001101200
52234022302
6254511040
760244206
oct23012140
910338386
104985952
1128a6024
121805480
13105758a
1493b076
156874bc
hex4c1460

4985952 has 48 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1646720.

The previous prime is 4985951. The next prime is 4985971. The reversal of 4985952 is 2595894.

4985952 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15877 + ... + 16187.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 24985952 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 4985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4985952 is an abundant number, since it is smaller than the sum of its proper divisors (8222880).

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

4985952 is a wasteful number, since it uses less digits than its factorization.

4985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 4985952 is about 2232.9245397012. The cubic root of 4985952 is about 170.8372995047.

The spelling of 4985952 in words is "four million, nine hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 311 334 501 622 668 933 1002 1244 1336 1866 2004 2488 2672 3732 4008 4976 5344 7464 8016 9952 14928 16032 29856 51937 103874 155811 207748 311622 415496 623244 830992 1246488 1661984 2492976 4985952