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5002776 = 2333192353
BaseRepresentation
bin10011000101011000011000
3100102011112000
4103011120120
52240042101
6255121000
760344232
oct23053030
910364460
105002776
112907729
121813160
13106212c
14943252
1568c486
hex4c5618

5002776 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1482624.

The previous prime is 5002771. The next prime is 5002801. The reversal of 5002776 is 6772005.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94366 + ... + 94418.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 25002776 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 5002776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5002776 is an abundant number, since it is smaller than the sum of its proper divisors (10549224).

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

5002776 is a wasteful number, since it uses less digits than its factorization.

5002776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

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

The square root of 5002776 is about 2236.6886238366. The cubic root of 5002776 is about 171.0292347677.

It can be divided in two parts, 5002 and 776, that added together give a triangular number (5778 = T107).

The spelling of 5002776 in words is "five million, two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 53 54 57 69 72 76 92 106 108 114 138 152 159 171 184 207 212 216 228 276 318 342 414 424 437 456 477 513 552 621 636 684 828 874 954 1007 1026 1219 1242 1272 1311 1368 1431 1656 1748 1908 2014 2052 2438 2484 2622 2862 3021 3496 3657 3816 3933 4028 4104 4876 4968 5244 5724 6042 7314 7866 8056 9063 9752 10488 10971 11448 11799 12084 14628 15732 18126 21942 23161 23598 24168 27189 29256 31464 32913 36252 43884 46322 47196 54378 65826 69483 72504 87768 92644 94392 108756 131652 138966 185288 208449 217512 263304 277932 416898 555864 625347 833796 1250694 1667592 2501388 5002776