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49714120 = 23517292521
BaseRepresentation
bin1011110110100…
…1001111001000
310110112201221201
42331221033020
5100211322440
64533313544
71142364061
oct275511710
9113481851
1049714120
1126075a55
12147958b4
13a3b8251
146861568
15457019a
hex2f693c8

49714120 has 64 divisors (see below), whose sum is σ = 122569200. Its totient is φ = 18063360.

The previous prime is 49714117. The next prime is 49714123. The reversal of 49714120 is 2141794.

It is an interprime number because it is at equal distance from previous prime (49714117) and next prime (49714123).

It can be written as a sum of positive squares in 8 ways, for example, as 11249316 + 38464804 = 3354^2 + 6202^2 .

It is not an unprimeable number, because it can be changed into a prime (49714123) 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, 18460 + ... + 20980.

Almost surely, 249714120 is an apocalyptic number.

49714120 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 49714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61284600).

49714120 is an abundant number, since it is smaller than the sum of its proper divisors (72855080).

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

49714120 is a wasteful number, since it uses less digits than its factorization.

49714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 49714120 is about 7050.8240653132. The cubic root of 49714120 is about 367.6996801530.

The spelling of 49714120 in words is "forty-nine million, seven hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 2521 3944 4930 5042 9860 10084 12605 19720 20168 25210 42857 50420 73109 85714 100840 146218 171428 214285 292436 342856 365545 428570 584872 731090 857140 1242853 1462180 1714280 2485706 2924360 4971412 6214265 9942824 12428530 24857060 49714120