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8088372 = 2232224677
BaseRepresentation
bin11110110110101100110100
3120012221011100
4132312230310
54032311442
6445210100
7125515155
oct36665464
916187140
108088372
114624a06
122860930
1318a2726
14110792c
15a9b84c
hex7b6b34

8088372 has 18 divisors (see below), whose sum is σ = 20445698. Its totient is φ = 2696112.

The previous prime is 8088359. The next prime is 8088373. The reversal of 8088372 is 2738808.

It can be written as a sum of positive squares in only one way, i.e., 8088336 + 36 = 2844^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×80883722 = 130843523220768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 224677 = 8088372 / (8 + 0 + 8 + 8 + 3 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8088373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112303 + ... + 112374.

Almost surely, 28088372 is an apocalyptic number.

It is an amenable number.

8088372 is an abundant number, since it is smaller than the sum of its proper divisors (12357326).

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

8088372 is a wasteful number, since it uses less digits than its factorization.

8088372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224687 (or 224682 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8088372 is about 2844.0063291069. The cubic root of 8088372 is about 200.7337381829.

Subtracting from 8088372 its sum of digits (36), we obtain a square (8088336 = 28442).

It can be divided in two parts, 808 and 8372, that added together give a triangular number (9180 = T135).

The spelling of 8088372 in words is "eight million, eighty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 224677 449354 674031 898708 1348062 2022093 2696124 4044186 8088372