Search a number
-
+
8172252 = 2234112293
BaseRepresentation
bin11111001011001011011100
3120101012020000
4133023023130
54043003002
6451054300
7126314544
oct37131334
916335200
108172252
114681a30
1228a1390
13190196a
14112a324
15ab661c
hex7cb2dc

8172252 has 60 divisors (see below), whose sum is σ = 23316216. Its totient is φ = 2475360.

The previous prime is 8172233. The next prime is 8172253. The reversal of 8172252 is 2522718.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2418 + ... + 4710.

Almost surely, 28172252 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 8172252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658108).

8172252 is an abundant number, since it is smaller than the sum of its proper divisors (15143964).

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

8172252 is a wasteful number, since it uses less digits than its factorization.

8172252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2309 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 8172252 is about 2858.7150959828. The cubic root of 8172252 is about 201.4252524836.

The spelling of 8172252 in words is "eight million, one hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 2293 3564 4586 6879 9172 13758 20637 25223 27516 41274 50446 61911 75669 82548 100892 123822 151338 185733 227007 247644 302676 371466 454014 681021 742932 908028 1362042 2043063 2724084 4086126 8172252