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4887072 = 253271239
BaseRepresentation
bin10010101001001000100000
3100012021210200
4102221020200
52222341242
6252425200
756353011
oct22511040
910167720
104887072
112838803
121778200
131021578
14913008
1566804c
hex4a9220

4887072 has 72 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1599360.

The previous prime is 4887053. The next prime is 4887073. The reversal of 4887072 is 2707884.

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

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

It is not an unprimeable number, because it can be changed into a prime (4887073) 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 11 ways as a sum of consecutive naturals, for example, 20329 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 24887072 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 4887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4887072 is an abundant number, since it is smaller than the sum of its proper divisors (9265248).

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

4887072 is a wasteful number, since it uses less digits than its factorization.

4887072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4887072 is about 2210.6722959317. The cubic root of 4887072 is about 169.7004181633.

The spelling of 4887072 in words is "four million, eight hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 239 284 288 426 478 568 639 717 852 956 1136 1278 1434 1704 1912 2151 2272 2556 2868 3408 3824 4302 5112 5736 6816 7648 8604 10224 11472 16969 17208 20448 22944 33938 34416 50907 67876 68832 101814 135752 152721 203628 271504 305442 407256 543008 610884 814512 1221768 1629024 2443536 4887072