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48070 = 25111923
BaseRepresentation
bin1011101111000110
32102221101
423233012
53014240
61010314
7260101
oct135706
972841
1048070
1133130
122399a
1318b59
1413738
15e39a
hexbbc6

48070 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 15840.

The previous prime is 48049. The next prime is 48073. The reversal of 48070 is 7084.

48070 = 412 + 422 + ... + 592.

It is a happy number.

It is a super-3 number, since 3×480703 = 333229637829000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073) 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, 2079 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

248070 is an apocalyptic number.

48070 is the 110-th decagonal number.

48070 is an abundant number, since it is smaller than the sum of its proper divisors (55610).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

48070 is a wasteful number, since it uses less digits than its factorization.

48070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 48070 is about 219.2487172140. The cubic root of 48070 is about 36.3600697259.

The spelling of 48070 in words is "forty-eight thousand, seventy".

Divisors: 1 2 5 10 11 19 22 23 38 46 55 95 110 115 190 209 230 253 418 437 506 874 1045 1265 2090 2185 2530 4370 4807 9614 24035 48070