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5033616 = 243771211
BaseRepresentation
bin10011001100111010010000
3100110201211020
4103030322100
52242033431
6255515440
760533160
oct23147220
910421736
105033616
112928915
121828b80
131073193
149505a0
15696696
hex4cce90

5033616 has 80 divisors (see below), whose sum is σ = 15141888. Its totient is φ = 1411200.

The previous prime is 5033599. The next prime is 5033629. The reversal of 5033616 is 6163305.

5033616 is nontrivially palindromic in base 15.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23751 + ... + 23961.

Almost surely, 25033616 is an apocalyptic number.

5033616 is a gapful number since it is divisible by the number (56) 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 5033616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570944).

5033616 is an abundant number, since it is smaller than the sum of its proper divisors (10108272).

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

5033616 is a wasteful number, since it uses less digits than its factorization.

5033616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5033616 is about 2243.5721517259. The cubic root of 5033616 is about 171.3799560558.

The spelling of 5033616 in words is "five million, thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 211 213 284 336 422 426 497 568 633 844 852 994 1136 1266 1477 1491 1688 1704 1988 2532 2954 2982 3376 3408 3976 4431 5064 5908 5964 7952 8862 10128 11816 11928 14981 17724 23632 23856 29962 35448 44943 59924 70896 89886 104867 119848 179772 209734 239696 314601 359544 419468 629202 719088 838936 1258404 1677872 2516808 5033616