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673985556 = 223319259293
BaseRepresentation
bin101000001011000…
…011010000010100
31201222020000101000
4220023003100110
52340020014211
6150513503300
722462532316
oct5013032024
91658200330
10673985556
113164a1362
12169871b30
13a983152a
14657257b6
153e284656
hex282c3414

673985556 has 144 divisors (see below), whose sum is σ = 1881835200. Its totient is φ = 208516032.

The previous prime is 673985551. The next prime is 673985561. The reversal of 673985556 is 655589376.

673985556 is a `hidden beast` number, since 6 + 7 + 3 + 9 + 85 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (673985551) and next prime (673985561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673985551) 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, 2300146 + ... + 2300438.

It is an arithmetic number, because the mean of its divisors is an integer number (13068300).

Almost surely, 2673985556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673985556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940917600).

673985556 is an abundant number, since it is smaller than the sum of its proper divisors (1207849644).

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

673985556 is a wasteful number, since it uses less digits than its factorization.

673985556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 673985556 is about 25961.2317889579. The cubic root of 673985556 is about 876.7656563578.

It can be divided in two parts, 673985 and 556, that added together give a triangular number (674541 = T1161).

The spelling of 673985556 in words is "six hundred seventy-three million, nine hundred eighty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 293 342 354 361 513 531 586 684 708 722 879 1026 1062 1083 1121 1172 1444 1593 1758 2052 2124 2166 2242 2637 3186 3249 3363 3516 4332 4484 5274 5567 6372 6498 6726 7911 9747 10089 10548 11134 12996 13452 15822 16701 17287 19494 20178 21299 22268 30267 31644 33402 34574 38988 40356 42598 50103 51861 60534 63897 66804 69148 85196 100206 103722 105773 121068 127794 150309 155583 191691 200412 207444 211546 255588 300618 311166 317319 328453 383382 423092 466749 575073 601236 622332 634638 656906 766764 933498 951957 985359 1150146 1269276 1313812 1866996 1903914 1970718 2300292 2855871 2956077 3807828 3941436 5711742 5912154 6240607 8868231 11423484 11824308 12481214 17736462 18721821 24962428 35472924 37443642 56165463 74887284 112330926 168496389 224661852 336992778 673985556