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28462434 = 23721113677
BaseRepresentation
bin110110010010…
…0110101100010
31222120001010020
41230210311202
524241244214
62454014310
7463632600
oct154446542
958501106
1028462434
1115080280
129647396
135b871a0
143acc870
1527734a9
hex1b24d62

28462434 has 96 divisors (see below), whose sum is σ = 77910336. Its totient is φ = 6814080.

The previous prime is 28462429. The next prime is 28462439. The reversal of 28462434 is 43426482.

It is an interprime number because it is at equal distance from previous prime (28462429) and next prime (28462439).

It is a super-2 number, since 2×284624342 = 1620220298408712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 28462395 and 28462404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28462439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41704 + ... + 42380.

It is an arithmetic number, because the mean of its divisors is an integer number (811566).

Almost surely, 228462434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28462434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38955168).

28462434 is an abundant number, since it is smaller than the sum of its proper divisors (49447902).

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

28462434 is a wasteful number, since it uses less digits than its factorization.

28462434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 28462434 is about 5335.0195875929. The cubic root of 28462434 is about 305.3214705997.

The spelling of 28462434 in words is "twenty-eight million, four hundred sixty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 677 858 1001 1078 1274 1354 1617 1911 2002 2031 3003 3234 3822 4062 4739 6006 7007 7447 8801 9478 14014 14217 14894 17602 21021 22341 26403 28434 33173 42042 44682 52129 52806 61607 66346 96811 99519 104258 123214 156387 184821 193622 199038 290433 312774 364903 369642 431249 580866 677677 729806 862498 1094709 1293747 1355354 2033031 2189418 2587494 4066062 4743739 9487478 14231217 28462434