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4270672 = 247172243
BaseRepresentation
bin10000010010101001010000
322000222021001
4100102221100
52043130142
6231311344
751204640
oct20225120
98028231
104270672
11245768a
12151b554
13b66b33
147d2520
155955b7
hex412a50

4270672 has 40 divisors (see below), whose sum is σ = 10017216. Its totient is φ = 1721856.

The previous prime is 4270667. The next prime is 4270697. The reversal of 4270672 is 2760724.

4270672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4270672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 3025.

Almost surely, 24270672 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 4270672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608).

4270672 is an abundant number, since it is smaller than the sum of its proper divisors (5746544).

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

4270672 is a wasteful number, since it uses less digits than its factorization.

4270672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4270672 is about 2066.5604273769. The cubic root of 4270672 is about 162.2427899389.

It can be divided in two parts, 42706 and 72, that added together give a triangular number (42778 = T292).

The spelling of 4270672 in words is "four million, two hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2243 4486 8972 15701 17944 31402 35888 38131 62804 76262 125608 152524 251216 266917 305048 533834 610096 1067668 2135336 4270672