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4268796 = 223789571
BaseRepresentation
bin10000010010001011111100
322000212200120
4100102023330
52043100141
6231254540
751166320
oct20221374
98025616
104268796
112456234
12151a450
13b6601c
147d1980
15594c66
hex4122fc

4268796 has 48 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 1203840.

The previous prime is 4268791. The next prime is 4268809. The reversal of 4268796 is 6978624.

It is a super-3 number, since 3×42687963 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

Its product of digits (145152) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 7761.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 24268796 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 4268796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760).

4268796 is an abundant number, since it is smaller than the sum of its proper divisors (7262724).

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

4268796 is a wasteful number, since it uses less digits than its factorization.

4268796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4268796 is about 2066.1064832191. The cubic root of 4268796 is about 162.2190300519.

The spelling of 4268796 in words is "four million, two hundred sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 571 623 1068 1142 1246 1713 1869 2284 2492 3426 3738 3997 6852 7476 7994 11991 15988 23982 47964 50819 101638 152457 203276 304914 355733 609828 711466 1067199 1422932 2134398 4268796