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84772240 = 2457151379
BaseRepresentation
bin1010000110110…
…00010110010000
312220111212122121
411003120112100
5133200202430
612224544024
72046360250
oct503302620
9186455577
1084772240
1143940703
1224482014
13147415b7
14b389960
157697a7a
hex50d8590

84772240 has 40 divisors (see below), whose sum is σ = 225253440. Its totient is φ = 29064576.

The previous prime is 84772231. The next prime is 84772241. The reversal of 84772240 is 4227748.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 84772196 and 84772205.

It is not an unprimeable number, because it can be changed into a prime (84772241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75130 + ... + 76249.

It is an arithmetic number, because the mean of its divisors is an integer number (5631336).

Almost surely, 284772240 is an apocalyptic number.

84772240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84772240 is an abundant number, since it is smaller than the sum of its proper divisors (140481200).

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

84772240 is a wasteful number, since it uses less digits than its factorization.

84772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151399 (or 151393 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 84772240 is about 9207.1841515199. The cubic root of 84772240 is about 439.2899014486.

Adding to 84772240 its reverse (4227748), we get a palindrome (88999988).

The spelling of 84772240 in words is "eighty-four million, seven hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 151379 302758 605516 756895 1059653 1211032 1513790 2119306 2422064 3027580 4238612 5298265 6055160 8477224 10596530 12110320 16954448 21193060 42386120 84772240