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385605402 = 2374132971
BaseRepresentation
bin10110111110111…
…101111100011010
3222212120210011120
4112332331330122
51242203333102
6102132510110
712361410000
oct2676757432
9885523146
10385605402
11188734056
12a917b336
1361b716a0
14392d8a70
1523cbd6bc
hex16fbdf1a

385605402 has 160 divisors (see below), whose sum is σ = 1016426880. Its totient is φ = 96808320.

The previous prime is 385605397. The next prime is 385605403. The reversal of 385605402 is 204506583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385605403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5431027 + ... + 5431097.

It is an arithmetic number, because the mean of its divisors is an integer number (6352668).

Almost surely, 2385605402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385605402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508213440).

385605402 is an abundant number, since it is smaller than the sum of its proper divisors (630821478).

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

385605402 is a wasteful number, since it uses less digits than its factorization.

385605402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 385605402 is about 19636.8378818994. The cubic root of 385605402 is about 727.8597486229.

The spelling of 385605402 in words is "three hundred eighty-five million, six hundred five thousand, four hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 49 58 71 78 87 91 98 142 147 174 182 203 213 273 294 343 377 406 426 497 546 609 637 686 754 923 994 1029 1131 1218 1274 1421 1491 1846 1911 2058 2059 2262 2401 2639 2769 2842 2982 3479 3822 4118 4263 4459 4802 5278 5538 6177 6461 6958 7203 7917 8526 8918 9947 10437 12354 12922 13377 14406 14413 15834 18473 19383 19894 20874 24353 26754 26767 28826 29841 31213 36946 38766 43239 45227 48706 53534 55419 59682 62426 69629 73059 80301 86478 90454 93639 100891 110838 129311 135681 139258 146118 160602 170471 187278 187369 201782 208887 258622 271362 302673 316589 340942 374738 387933 417774 511413 562107 605346 633178 706237 775866 905177 949767 1022826 1124214 1311583 1412474 1810354 1899534 2118711 2216123 2623166 2715531 3934749 4237422 4432246 4943659 5431062 6648369 7869498 9181081 9887318 13296738 14830977 18362162 27543243 29661954 55086486 64267567 128535134 192802701 385605402