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4995072 = 21132271
BaseRepresentation
bin10011000011100000000000
3100101202221200
4103003200000
52234320242
6255021200
760312615
oct23034000
910352850
104995072
112901965
12180a800
13105b784
1494050c
1568a04c
hex4c3800

4995072 has 72 divisors (see below), whose sum is σ = 14479920. Its totient is φ = 1658880.

The previous prime is 4995049. The next prime is 4995073. The reversal of 4995072 is 2705994.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4995073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18297 + ... + 18567.

It is an arithmetic number, because the mean of its divisors is an integer number (201110).

Almost surely, 24995072 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 4995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239960).

4995072 is an abundant number, since it is smaller than the sum of its proper divisors (9484848).

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

4995072 is a wasteful number, since it uses less digits than its factorization.

4995072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4995072 is about 2234.9657715500. The cubic root of 4995072 is about 170.9413977913.

The spelling of 4995072 in words is "four million, nine hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 512 542 576 768 813 1024 1084 1152 1536 1626 2048 2168 2304 2439 3072 3252 4336 4608 4878 6144 6504 8672 9216 9756 13008 17344 18432 19512 26016 34688 39024 52032 69376 78048 104064 138752 156096 208128 277504 312192 416256 555008 624384 832512 1248768 1665024 2497536 4995072