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49586680 = 23511138669
BaseRepresentation
bin1011110100101…
…0000111111000
310110022021010201
42331022013320
5100143233210
64530451544
71141323403
oct275120770
9113267121
1049586680
1125a99230
1214733bb4
13a372240
14682ad3a
15454753a
hex2f4a1f8

49586680 has 64 divisors (see below), whose sum is σ = 131090400. Its totient is φ = 16642560.

The previous prime is 49586651. The next prime is 49586681. The reversal of 49586680 is 8668594.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49586680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49586681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386 + ... + 10054.

Almost surely, 249586680 is an apocalyptic number.

49586680 is a gapful number since it is divisible by the number (40) 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 49586680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545200).

49586680 is an abundant number, since it is smaller than the sum of its proper divisors (81503720).

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

49586680 is a wasteful number, since it uses less digits than its factorization.

49586680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 49586680 is about 7041.7810247124. The cubic root of 49586680 is about 367.3852172113.

The spelling of 49586680 in words is "forty-nine million, five hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 8669 17338 34676 43345 69352 86690 95359 112697 173380 190718 225394 346760 381436 450788 476795 563485 762872 901576 953590 1126970 1239667 1907180 2253940 2479334 3814360 4507880 4958668 6198335 9917336 12396670 24793340 49586680