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893890404 = 22341121512
BaseRepresentation
bin110101010001111…
…010111101100100
32022022000100010000
4311101322331210
53312313443104
6224411101300
731102641321
oct6521727544
92268010100
10893890404
1141963a100
1220b441830
13113267844
1486a09b48
1553721639
hex3547af64

893890404 has 135 divisors (see below), whose sum is σ = 2585678403. Its totient is φ = 269082000.

The previous prime is 893890399. The next prime is 893890463. The reversal of 893890404 is 404098398.

It is a happy number.

The square root of 893890404 is 29898.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 893890404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5919729 + ... + 5919879.

Almost surely, 2893890404 is an apocalyptic number.

893890404 is the 29898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893890404

893890404 is an abundant number, since it is smaller than the sum of its proper divisors (1691787999).

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

893890404 is a wasteful number, since it uses less digits than its factorization.

893890404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 893890404 is about 963.2997000054.

The spelling of 893890404 in words is "eight hundred ninety-three million, eight hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 151 162 198 242 297 302 324 363 396 453 484 594 604 726 891 906 1089 1188 1359 1452 1661 1782 1812 2178 2718 3267 3322 3564 4077 4356 4983 5436 6534 6644 8154 9801 9966 12231 13068 14949 16308 18271 19602 19932 22801 24462 29898 36542 39204 44847 45602 48924 54813 59796 68403 73084 89694 91204 109626 134541 136806 164439 179388 205209 219252 250811 269082 273612 328878 410418 493317 501622 538164 615627 657756 752433 820836 986634 1003244 1231254 1479951 1504866 1846881 1973268 2257299 2462508 2758921 2959902 3009732 3693762 4514598 5517842 5919804 6771897 7387524 8276763 9029196 11035684 13543794 16553526 20315691 24830289 27087588 33107052 40631382 49660578 74490867 81262764 99321156 148981734 223472601 297963468 446945202 893890404