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5212416 = 28311617
BaseRepresentation
bin10011111000100100000000
3100210211002110
4103320210000
52313244131
6303415320
762206356
oct23704400
910724073
105212416
112a40190
1218b4540
131106691
149997d6
156ce646
hex4f8900

5212416 has 72 divisors (see below), whose sum is σ = 15158304. Its totient is φ = 1576960.

The previous prime is 5212409. The next prime is 5212447. The reversal of 5212416 is 6142125.

5212416 = T968 + T969 + ... + T978.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5212392 and 5212401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8140 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (210532).

Almost surely, 25212416 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 5212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579152).

5212416 is an abundant number, since it is smaller than the sum of its proper divisors (9945888).

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

5212416 is a wasteful number, since it uses less digits than its factorization.

5212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 5212416 is about 2283.0716151711. The cubic root of 5212416 is about 173.3855989658.

The spelling of 5212416 in words is "five million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 617 704 768 1056 1234 1408 1851 2112 2468 2816 3702 4224 4936 6787 7404 8448 9872 13574 14808 19744 20361 27148 29616 39488 40722 54296 59232 78976 81444 108592 118464 157952 162888 217184 236928 325776 434368 473856 651552 868736 1303104 1737472 2606208 5212416