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629040906 = 2321361127347
BaseRepresentation
bin100101011111100…
…110011100001010
31121211122120220100
4211133212130022
52242013302111
6142230310230
721405521334
oct4537463412
91554576810
10629040906
112a309381a
121567b8376
13a0426170
145d786454
153a357756
hex257e670a

629040906 has 96 divisors (see below), whose sum is σ = 1507903488. Its totient is φ = 188334720.

The previous prime is 629040883. The next prime is 629040911. The reversal of 629040906 is 609040926.

It is a super-2 number, since 2×6290409062 = 791384922842601672, which contains 22 as substring.

It is a Curzon number.

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, 1812625 + ... + 1812971.

It is an arithmetic number, because the mean of its divisors is an integer number (15707328).

Almost surely, 2629040906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629040906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753951744).

629040906 is an abundant number, since it is smaller than the sum of its proper divisors (878862582).

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

629040906 is a wasteful number, since it uses less digits than its factorization.

629040906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 629040906 is about 25080.6879092261. The cubic root of 629040906 is about 856.8266436201.

The spelling of 629040906 in words is "six hundred twenty-nine million, forty thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 127 183 234 254 347 366 381 549 694 762 793 1041 1098 1143 1586 1651 2082 2286 2379 3123 3302 4511 4758 4953 6246 7137 7747 9022 9906 13533 14274 14859 15494 21167 23241 27066 29718 40599 42334 44069 46482 63501 69723 81198 88138 100711 127002 132207 139446 190503 201422 264414 275171 302133 381006 396621 550342 572897 604266 793242 825513 906399 1145794 1651026 1718691 1812798 2476539 2688209 3437382 4953078 5156073 5376418 8064627 10312146 16129254 24193881 34946717 48387762 69893434 104840151 209680302 314520453 629040906