Search a number
-
+
8074272 = 253151557
BaseRepresentation
bin11110110011010000100000
3120012012211010
4132303100200
54031334042
6445020520
7125426103
oct36632040
916165733
108074272
114615358
122854740
13189919b
14110273a
15a9759c
hex7b3420

8074272 has 48 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 2668800.

The previous prime is 8074249. The next prime is 8074277. The reversal of 8074272 is 2724708.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8074277) 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, 14218 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 28074272 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 8074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

8074272 is an abundant number, since it is smaller than the sum of its proper divisors (13299360).

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

8074272 is a wasteful number, since it uses less digits than its factorization.

8074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 8074272 is about 2841.5263503969. The cubic root of 8074272 is about 200.6170277594.

The spelling of 8074272 in words is "eight million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 557 604 906 1114 1208 1671 1812 2228 2416 3342 3624 4456 4832 6684 7248 8912 13368 14496 17824 26736 53472 84107 168214 252321 336428 504642 672856 1009284 1345712 2018568 2691424 4037136 8074272