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4904960 = 2115479
BaseRepresentation
bin10010101101100000000000
3100020012100012
4102231200000
52223424320
6253044052
756456114
oct22554000
910205305
104904960
112850195
121786628
131029758
14919744
1566d4c5
hex4ad800

4904960 has 48 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1957888.

The previous prime is 4904927. The next prime is 4904969. The reversal of 4904960 is 694094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904969) 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 3 ways as a sum of consecutive naturals, for example, 10001 + ... + 10479.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 24904960 is an apocalyptic number.

4904960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4904960 is an abundant number, since it is smaller than the sum of its proper divisors (6888640).

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

4904960 is an equidigital number, since it uses as much as digits as its factorization.

4904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 4904960 is about 2214.7144285438. The cubic root of 4904960 is about 169.9072158046.

The spelling of 4904960 in words is "four million, nine hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 479 512 640 958 1024 1280 1916 2048 2395 2560 3832 4790 5120 7664 9580 10240 15328 19160 30656 38320 61312 76640 122624 153280 245248 306560 490496 613120 980992 1226240 2452480 4904960