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4257396 = 22321113827
BaseRepresentation
bin10000001111011001110100
322000022001100
4100033121310
52042214041
6231130100
751121143
oct20173164
98008040
104257396
112448710
121513930
13b60a90
147cb75a
155916b6
hex40f674

4257396 has 72 divisors (see below), whose sum is σ = 12658464. Its totient is φ = 1189440.

The previous prime is 4257391. The next prime is 4257413. The reversal of 4257396 is 6937524.

4257396 = T169 + T170 + ... + T311.

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

It is a d-powerful number, because it can be written as 411 + 29 + 55 + 73 + 33 + 95 + 62 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 4257396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (175812).

Almost surely, 24257396 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 4257396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329232).

4257396 is an abundant number, since it is smaller than the sum of its proper divisors (8401068).

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

4257396 is a wasteful number, since it uses less digits than its factorization.

4257396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4257396 is about 2063.3458265642. The cubic root of 4257396 is about 162.0744970581.

The spelling of 4257396 in words is "four million, two hundred fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 827 858 1287 1654 1716 2481 2574 3308 4962 5148 7443 9097 9924 10751 14886 18194 21502 27291 29772 32253 36388 43004 54582 64506 81873 96759 109164 118261 129012 163746 193518 236522 327492 354783 387036 473044 709566 1064349 1419132 2128698 4257396