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27700428 = 2237437669
BaseRepresentation
bin110100110101…
…0110011001100
31221010022211210
41221222303030
524042403203
62425414420
7454310160
oct151526314
957108753
1027700428
11146aa818
12933a410
13597b3b2
143970ca0
152672803
hex1a6accc

27700428 has 48 divisors (see below), whose sum is σ = 75595520. Its totient is φ = 7729344.

The previous prime is 27700427. The next prime is 27700447. The reversal of 27700428 is 82400772.

It is a super-2 number, since 2×277004282 = 1534627422766368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27700395 and 27700404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27700427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223 + ... + 7446.

Almost surely, 227700428 is an apocalyptic number.

27700428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27700428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37797760).

27700428 is an abundant number, since it is smaller than the sum of its proper divisors (47895092).

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

27700428 is a wasteful number, since it uses less digits than its factorization.

27700428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7724 counting only the distinct ones).

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

The square root of 27700428 is about 5263.1196072292. The cubic root of 27700428 is about 302.5720630627.

The spelling of 27700428 in words is "twenty-seven million, seven hundred thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 7669 15338 23007 30676 46014 53683 92028 107366 161049 214732 322098 329767 644196 659534 989301 1319068 1978602 2308369 3957204 4616738 6925107 9233476 13850214 27700428