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4495968 = 253267233
BaseRepresentation
bin10001001001101001100000
322110102022100
4101021221200
52122332333
6240210400
753133531
oct21115140
98412270
104495968
1125a0984
121609a00
13c15549
14850688
155dc213
hex449a60

4495968 has 72 divisors (see below), whose sum is σ = 13031928. Its totient is φ = 1469952.

The previous prime is 4495921. The next prime is 4495979. The reversal of 4495968 is 8695944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19180 + ... + 19412.

It is an arithmetic number, because the mean of its divisors is an integer number (180999).

Almost surely, 24495968 is an apocalyptic number.

4495968 is a gapful number since it is divisible by the number (48) 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 4495968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515964).

4495968 is an abundant number, since it is smaller than the sum of its proper divisors (8535960).

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

4495968 is a wasteful number, since it uses less digits than its factorization.

4495968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

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

The square root of 4495968 is about 2120.3697790716. The cubic root of 4495968 is about 165.0470389303.

The spelling of 4495968 in words is "four million, four hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 233 268 288 402 466 536 603 699 804 932 1072 1206 1398 1608 1864 2097 2144 2412 2796 3216 3728 4194 4824 5592 6432 7456 8388 9648 11184 15611 16776 19296 22368 31222 33552 46833 62444 67104 93666 124888 140499 187332 249776 280998 374664 499552 561996 749328 1123992 1498656 2247984 4495968