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4913952 = 253173011
BaseRepresentation
bin10010101111101100100000
3100020122200020
4102233230200
52224221302
6253153440
756524251
oct22575440
910218606
104913952
112856a1a
12178b880
131030884
1491cb28
15670ebc
hex4afb20

4913952 has 48 divisors (see below), whose sum is σ = 13662432. Its totient is φ = 1541120.

The previous prime is 4913947. The next prime is 4913959. The reversal of 4913952 is 2593194.

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

It is not an unprimeable number, because it can be changed into a prime (4913959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (284634).

Almost surely, 24913952 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 4913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831216).

4913952 is an abundant number, since it is smaller than the sum of its proper divisors (8748480).

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

4913952 is a wasteful number, since it uses less digits than its factorization.

4913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3033 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 4913952 is about 2216.7435575637. The cubic root of 4913952 is about 170.0109796830.

The spelling of 4913952 in words is "four million, nine hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3011 6022 9033 12044 18066 24088 36132 48176 51187 72264 96352 102374 144528 153561 204748 289056 307122 409496 614244 818992 1228488 1637984 2456976 4913952