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4396057812 = 2233178926903
BaseRepresentation
bin1000001100000011…
…01000010011010100
3102100100221212122000
410012001220103110
533000342322222
62004114435300
7213636606036
oct40601502324
912310855560
104396057812
111956507333
12a28292b30
135509b2853
142d9badc56
151aae0a9ac
hex1060684d4

4396057812 has 96 divisors (see below), whose sum is σ = 12203654400. Its totient is φ = 1363608576.

The previous prime is 4396057807. The next prime is 4396057817. The reversal of 4396057812 is 2187506934.

4396057812 is a `hidden beast` number, since 4 + 3 + 9 + 60 + 578 + 12 = 666.

4396057812 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4396057807) and next prime (4396057817).

4396057812 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4396057817) 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 31 ways as a sum of consecutive naturals, for example, 149953 + ... + 176855.

It is an arithmetic number, because the mean of its divisors is an integer number (127121400).

It is a 1-persistent number, because it is pandigital, but 2⋅4396057812 = 8792115624 is not.

Almost surely, 24396057812 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 4396057812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101827200).

4396057812 is an abundant number, since it is smaller than the sum of its proper divisors (7807596588).

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

4396057812 is a wasteful number, since it uses less digits than its factorization.

4396057812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27022 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4396057812 is about 66302.7737881305. The cubic root of 4396057812 is about 1638.1530133863.

The spelling of 4396057812 in words is "four billion, three hundred ninety-six million, fifty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 89 102 108 153 178 204 267 306 356 459 534 612 801 918 1068 1513 1602 1836 2403 3026 3204 4539 4806 6052 9078 9612 13617 18156 26903 27234 40851 53806 54468 80709 81702 107612 161418 163404 242127 322836 457351 484254 726381 914702 968508 1372053 1452762 1829404 2394367 2744106 2905524 4116159 4788734 5488212 7183101 8232318 9577468 12348477 14366202 16464636 21549303 24696954 28732404 40704239 43098606 49393908 64647909 81408478 86197212 122112717 129295818 162816956 244225434 258591636 366338151 488450868 732676302 1099014453 1465352604 2198028906 4396057812