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385090902 = 23373171223
BaseRepresentation
bin10110111101000…
…000010101010110
3222211121122102000
4112331000111112
51242040402102
6102113500130
712354135000
oct2675002526
9884548360
10385090902
11188412549
12a8b71646
1361a21451
1439203370
1523c1b01c
hex16f40556

385090902 has 128 divisors (see below), whose sum is σ = 1057536000. Its totient is φ = 103469184.

The previous prime is 385090889. The next prime is 385090933. The reversal of 385090902 is 209090583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314263 + ... + 315485.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2385090902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385090902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

385090902 is an abundant number, since it is smaller than the sum of its proper divisors (672445098).

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

385090902 is a wasteful number, since it uses less digits than its factorization.

385090902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 385090902 is about 19623.7331310839. The cubic root of 385090902 is about 727.5358851467.

The spelling of 385090902 in words is "three hundred eighty-five million, ninety thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 343 357 378 441 459 686 714 833 882 918 1029 1071 1223 1323 1666 2058 2142 2446 2499 2646 3087 3213 3669 4998 5831 6174 6426 7338 7497 8561 9261 11007 11662 14994 17122 17493 18522 20791 22014 22491 25683 33021 34986 41582 44982 51366 52479 59927 62373 66042 77049 104958 119854 124746 145537 154098 157437 179781 187119 231147 291074 314874 359562 374238 419489 436611 462294 539343 561357 838978 873222 1018759 1078686 1122714 1258467 1309833 1618029 2037518 2516934 2619666 3056277 3236058 3775401 3929499 6112554 7131313 7550802 7858998 9168831 11326203 14262626 18337662 21393939 22652406 27506493 42787878 55012986 64181817 128363634 192545451 385090902