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5001216 = 21231137
BaseRepresentation
bin10011000101000000000000
3100102002101020
4103011000000
52240014331
6255105440
760336543
oct23050000
910362336
105001216
112906540
121812280
1310614cc
1494285a
1568bc96
hex4c5000

5001216 has 104 divisors (see below), whose sum is σ = 14940384. Its totient is φ = 1474560.

The previous prime is 5001203. The next prime is 5001233. The reversal of 5001216 is 6121005.

5001216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50012162 = 50024322957312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5001195 and 5001204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135150 + ... + 135186.

Almost surely, 25001216 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 5001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470192).

5001216 is an abundant number, since it is smaller than the sum of its proper divisors (9939168).

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

5001216 is a wasteful number, since it uses less digits than its factorization.

5001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5001216 is about 2236.3398668360. The cubic root of 5001216 is about 171.0114557491.

The spelling of 5001216 in words is "five million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1024 1056 1184 1221 1408 1536 1628 1776 2048 2112 2368 2442 2816 3072 3256 3552 4096 4224 4736 4884 5632 6144 6512 7104 8448 9472 9768 11264 12288 13024 14208 16896 18944 19536 22528 26048 28416 33792 37888 39072 45056 52096 56832 67584 75776 78144 104192 113664 135168 151552 156288 208384 227328 312576 416768 454656 625152 833536 1250304 1667072 2500608 5001216