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48069220 = 2253124161
BaseRepresentation
bin1011011101011…
…1101001100100
310100110011120111
42313113221210
544301203340
64434142404
71122403333
oct267275144
9110404514
1048069220
1125152131
1214121a04
139c60634
146553d1a
154347aea
hex2dd7a64

48069220 has 72 divisors (see below), whose sum is σ = 108602424. Its totient is φ = 17856000.

The previous prime is 48069187. The next prime is 48069239. The reversal of 48069220 is 2296084.

It can be written as a sum of positive squares in 4 ways, for example, as 3232804 + 44836416 = 1798^2 + 6696^2 .

It is a super-3 number, since 3×480692203 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787990 + ... + 788050.

It is an arithmetic number, because the mean of its divisors is an integer number (1508367).

Almost surely, 248069220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48069220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54301212).

48069220 is an abundant number, since it is smaller than the sum of its proper divisors (60533204).

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

48069220 is a wasteful number, since it uses less digits than its factorization.

48069220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 48069220 is about 6933.1969537869. The cubic root of 48069220 is about 363.5987306130.

The spelling of 48069220 in words is "forty-eight million, sixty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 61 62 82 122 124 155 164 205 244 305 310 410 610 620 820 961 1220 1271 1891 1922 2501 2542 3782 3844 4805 5002 5084 6355 7564 9455 9610 10004 12505 12710 18910 19220 25010 25420 37820 39401 50020 58621 77531 78802 117242 155062 157604 197005 234484 293105 310124 387655 394010 586210 775310 788020 1172420 1550620 2403461 4806922 9613844 12017305 24034610 48069220