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5516016 = 2431131337
BaseRepresentation
bin10101000010101011110000
3101101020112220
4111002223300
52403003031
6314121040
764612452
oct25025360
911336486
105516016
1131282a0
121a20180
1311b191c
14a382d2
1573e596
hex542af0

5516016 has 80 divisors (see below), whose sum is σ = 16094208. Its totient is φ = 1612800.

The previous prime is 5516011. The next prime is 5516029. The reversal of 5516016 is 6106155.

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 a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16200 + ... + 16536.

Almost surely, 25516016 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 5516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047104).

5516016 is an abundant number, since it is smaller than the sum of its proper divisors (10578192).

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

5516016 is a wasteful number, since it uses less digits than its factorization.

5516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5516016 is about 2348.6200203524. The cubic root of 5516016 is about 176.6885902938.

The spelling of 5516016 in words is "five million, five hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 337 341 372 496 528 674 682 744 1011 1023 1348 1364 1488 2022 2046 2696 2728 3707 4044 4092 5392 5456 7414 8088 8184 10447 11121 14828 16176 16368 20894 22242 29656 31341 41788 44484 59312 62682 83576 88968 114917 125364 167152 177936 229834 250728 344751 459668 501456 689502 919336 1379004 1838672 2758008 5516016