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4961952 = 25335743
BaseRepresentation
bin10010111011011010100000
3100100002112000
4102323122200
52232240302
6254204000
760114222
oct22733240
910302460
104961952
112889a96
1217b3600
131049688
14932412
1568031c
hex4bb6a0

4961952 has 48 divisors (see below), whose sum is σ = 14474880. Its totient is φ = 1653696.

The previous prime is 4961947. The next prime is 4961963. The reversal of 4961952 is 2591694.

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

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

It is an unprimeable number.

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, 2008 + ... + 3735.

It is an arithmetic number, because the mean of its divisors is an integer number (301560).

Almost surely, 24961952 is an apocalyptic number.

It is an amenable number.

4961952 is an abundant number, since it is smaller than the sum of its proper divisors (9512928).

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

4961952 is a wasteful number, since it uses less digits than its factorization.

4961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5748 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 4961952 is about 2227.5439389606. The cubic root of 4961952 is about 170.5627486952.

It can be divided in two parts, 49 and 61952, that added together give a square (62001 = 2492).

The spelling of 4961952 in words is "four million, nine hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5743 11486 17229 22972 34458 45944 51687 68916 91888 103374 137832 155061 183776 206748 275664 310122 413496 551328 620244 826992 1240488 1653984 2480976 4961952