Search a number
-
+
8078472 = 2332295373
BaseRepresentation
bin11110110100010010001000
3120012102120200
4132310102020
54032002342
6445052200
7125444253
oct36642210
916172520
108078472
114618526
122857060
13189b07c
14110409a
15a9894c
hex7b4488

8078472 has 96 divisors (see below), whose sum is σ = 23376600. Its totient is φ = 2515968.

The previous prime is 8078471. The next prime is 8078489. The reversal of 8078472 is 2748708.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 427716 = 2766^2 + 654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8078471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110628 + ... + 110700.

Almost surely, 28078472 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 8078472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688300).

8078472 is an abundant number, since it is smaller than the sum of its proper divisors (15298128).

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

8078472 is a wasteful number, since it uses less digits than its factorization.

8078472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8078472 is about 2842.2652937402. The cubic root of 8078472 is about 200.6518067654.

The spelling of 8078472 in words is "eight million, seventy-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 53 58 72 73 87 106 116 146 159 174 212 219 232 261 292 318 348 424 438 477 522 584 636 657 696 876 954 1044 1272 1314 1537 1752 1908 2088 2117 2628 3074 3816 3869 4234 4611 5256 6148 6351 7738 8468 9222 11607 12296 12702 13833 15476 16936 18444 19053 23214 25404 27666 30952 34821 36888 38106 46428 50808 55332 69642 76212 92856 110664 112201 139284 152424 224402 278568 336603 448804 673206 897608 1009809 1346412 2019618 2692824 4039236 8078472