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8041216 = 28101311
BaseRepresentation
bin11110101011001100000000
3120010112110211
4132223030000
54024304331
6444203504
7125230531
oct36531400
916115424
108041216
1145a2537
122839594
131887121
1410d4688
15a8c8b1
hex7ab300

8041216 has 36 divisors (see below), whose sum is σ = 16262064. Its totient is φ = 3968000.

The previous prime is 8041181. The next prime is 8041219. The reversal of 8041216 is 6121408.

It is a super-2 number, since 2×80412162 = 129322309517312, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8041219) 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, 25701 + ... + 26011.

It is an arithmetic number, because the mean of its divisors is an integer number (451724).

Almost surely, 28041216 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 8041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131032).

8041216 is an abundant number, since it is smaller than the sum of its proper divisors (8220848).

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

8041216 is a wasteful number, since it uses less digits than its factorization.

8041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8041216 is about 2835.7037927118. The cubic root of 8041216 is about 200.3428785024.

The spelling of 8041216 in words is "eight million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 311 404 622 808 1244 1616 2488 3232 4976 6464 9952 12928 19904 25856 31411 39808 62822 79616 125644 251288 502576 1005152 2010304 4020608 8041216