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49720 = 23511113
BaseRepresentation
bin1100001000111000
32112012111
430020320
53042340
61022104
7264646
oct141070
975174
1049720
11343a0
1224934
1319828
1414196
15eaea
hexc238

49720 has 32 divisors (see below), whose sum is σ = 123120. Its totient is φ = 17920.

The previous prime is 49711. The next prime is 49727. The reversal of 49720 is 2794.

It is a super-4 number, since 4×497204 = 24444686462986240000, which contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 43 + 92 + 75 + 215 + 0 .

49720 is an undulating number in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49691 and 49700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49727) by changing a digit.

49720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 496.

249720 is an apocalyptic number.

49720 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 49720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560).

49720 is an abundant number, since it is smaller than the sum of its proper divisors (73400).

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

49720 is a wasteful number, since it uses less digits than its factorization.

49720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 49720 is about 222.9798197147. The cubic root of 49720 is about 36.7714176295.

The spelling of 49720 in words is "forty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 440 452 565 904 1130 1243 2260 2486 4520 4972 6215 9944 12430 24860 49720