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5049576 = 2332743233
BaseRepresentation
bin10011010000110011101000
3100111112201100
4103100303220
52243041301
6300121400
760630540
oct23206350
910445640
105049576
112939904
121836260
13107a51c
14956320
1569b286
hex4d0ce8

5049576 has 96 divisors (see below), whose sum is σ = 16061760. Its totient is φ = 1403136.

The previous prime is 5049571. The next prime is 5049607. The reversal of 5049576 is 6759405.

5049576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5049576.

It is not an unprimeable number, because it can be changed into a prime (5049571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21556 + ... + 21788.

It is an arithmetic number, because the mean of its divisors is an integer number (167310).

Almost surely, 25049576 is an apocalyptic number.

5049576 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 5049576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030880).

5049576 is an abundant number, since it is smaller than the sum of its proper divisors (11012184).

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

5049576 is a wasteful number, since it uses less digits than its factorization.

5049576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5049576 is about 2247.1261646823. The cubic root of 5049576 is about 171.5608954532.

It can be divided in two parts, 5049 and 576, that added together give a square (5625 = 752).

The spelling of 5049576 in words is "five million, forty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 233 252 258 301 344 387 466 504 516 602 699 774 903 932 1032 1204 1398 1548 1631 1806 1864 2097 2408 2709 2796 3096 3262 3612 4194 4893 5418 5592 6524 7224 8388 9786 10019 10836 13048 14679 16776 19572 20038 21672 29358 30057 39144 40076 58716 60114 70133 80152 90171 117432 120228 140266 180342 210399 240456 280532 360684 420798 561064 631197 721368 841596 1262394 1683192 2524788 5049576