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5200776 = 2332717607
BaseRepresentation
bin10011110101101110001000
3100210020010100
4103311232020
52312411101
6303245400
762130420
oct23655610
910706110
105200776
112a32469
1218a9860
1311012a9
14995480
156cae86
hex4f5b88

5200776 has 96 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 1396224.

The previous prime is 5200753. The next prime is 5200781. The reversal of 5200776 is 6770025.

5200776 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8265 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 25200776 is an apocalyptic number.

5200776 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 5200776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536320).

5200776 is an abundant number, since it is smaller than the sum of its proper divisors (11871864).

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

5200776 is a wasteful number, since it uses less digits than its factorization.

5200776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5200776 is about 2280.5209931066. The cubic root of 5200776 is about 173.2564386081.

The spelling of 5200776 in words is "five million, two hundred thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 607 612 714 952 1071 1214 1224 1428 1821 2142 2428 2856 3642 4249 4284 4856 5463 7284 8498 8568 10319 10926 12747 14568 16996 20638 21852 25494 30957 33992 38241 41276 43704 50988 61914 72233 76482 82552 92871 101976 123828 144466 152964 185742 216699 247656 288932 305928 371484 433398 577864 650097 742968 866796 1300194 1733592 2600388 5200776