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84740500 = 22531313037
BaseRepresentation
bin1010000110100…
…00100110010100
312220110021010001
411003100212110
5133143144000
612224141044
72046165565
oct503204624
9186407101
1084740500
1143919879
1224467784
1314730010
14b37c16c
15768d46a
hex50d0994

84740500 has 48 divisors (see below), whose sum is σ = 199324944. Its totient is φ = 31286400.

The previous prime is 84740497. The next prime is 84740501. The reversal of 84740500 is 504748.

It can be written as a sum of positive squares in 8 ways, for example, as 36048016 + 48692484 = 6004^2 + 6978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84740501) 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, 19 + ... + 13018.

It is an arithmetic number, because the mean of its divisors is an integer number (4152603).

Almost surely, 284740500 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 84740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99662472).

84740500 is an abundant number, since it is smaller than the sum of its proper divisors (114584444).

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

84740500 is a wasteful number, since it uses less digits than its factorization.

84740500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 84740500 is about 9205.4603361266. The cubic root of 84740500 is about 439.2350690254.

The spelling of 84740500 in words is "eighty-four million, seven hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 13037 26074 52148 65185 130370 169481 260740 325925 338962 651850 677924 847405 1303700 1629625 1694810 3259250 3389620 4237025 6518500 8474050 16948100 21185125 42370250 84740500