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4973568 = 21031619
BaseRepresentation
bin10010111110010000000000
3100100200110020
4102332100000
52233123233
6254333440
760163125
oct22762000
910320406
104973568
112897796
1217ba280
131051a52
1493674c
156839b3
hex4be400

4973568 has 44 divisors (see below), whose sum is σ = 13264560. Its totient is φ = 1656832.

The previous prime is 4973567. The next prime is 4973581. The reversal of 4973568 is 8653794.

It is a happy number.

It is a d-powerful number, because it can be written as 48 + 94 + 76 + 314 + 53 + 63 + 83 .

It is not an unprimeable number, because it can be changed into a prime (4973567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2263 + ... + 3881.

Almost surely, 24973568 is an apocalyptic number.

4973568 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 4973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632280).

4973568 is an abundant number, since it is smaller than the sum of its proper divisors (8290992).

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

4973568 is a wasteful number, since it uses less digits than its factorization.

4973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 4973568 is about 2230.1497707553. The cubic root of 4973568 is about 170.6957415743.

The spelling of 4973568 in words is "four million, nine hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1619 3072 3238 4857 6476 9714 12952 19428 25904 38856 51808 77712 103616 155424 207232 310848 414464 621696 828928 1243392 1657856 2486784 4973568