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39928434 = 23721331337
BaseRepresentation
bin1001100001010…
…0001001110010
32210010120111220
42120110021302
540210202214
63543445510
7663246300
oct230241162
983116456
1039928434
11205a1907
1211456896
1383700c0
145435270
15378a9a9
hex2614272

39928434 has 96 divisors (see below), whose sum is σ = 103574016. Its totient is φ = 10160640.

The previous prime is 39928423. The next prime is 39928457. The reversal of 39928434 is 43482993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118314 + ... + 118650.

It is an arithmetic number, because the mean of its divisors is an integer number (1078896).

Almost surely, 239928434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39928434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787008).

39928434 is an abundant number, since it is smaller than the sum of its proper divisors (63645582).

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

39928434 is a wasteful number, since it uses less digits than its factorization.

39928434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 39928434 is about 6318.8949983363. The cubic root of 39928434 is about 341.7911073448.

The spelling of 39928434 in words is "thirty-nine million, nine hundred twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 337 403 434 546 637 651 674 806 1011 1209 1274 1302 1519 1911 2022 2359 2418 2821 3038 3822 4381 4557 4718 5642 7077 8463 8762 9114 10447 13143 14154 16513 16926 19747 20894 26286 30667 31341 33026 39494 49539 59241 61334 62682 73129 92001 99078 118482 135811 146258 184002 214669 219387 271622 407433 429338 438774 511903 644007 814866 950677 1023806 1288014 1535709 1901354 2852031 3071418 5704062 6654739 13309478 19964217 39928434