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640497942 = 238719367
BaseRepresentation
bin100110001011010…
…011100100010110
31122122012200000000
4212023103210112
52302431413232
6143320032130
721605066640
oct4613234426
91578180000
10640497942
112a95a9647
1215a602646
13a2907c86
14610c9890
153b36c27c
hex262d3916

640497942 has 144 divisors (see below), whose sum is σ = 1738314240. Its totient is φ = 172895472.

The previous prime is 640497919. The next prime is 640497947. The reversal of 640497942 is 249794046.

It is a super-2 number, since 2×6404979422 = 820475227412470728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640497947) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1745043 + ... + 1745409.

Almost surely, 2640497942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640497942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869157120).

640497942 is an abundant number, since it is smaller than the sum of its proper divisors (1097816298).

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

640497942 is an equidigital number, since it uses as much as digits as its factorization.

640497942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 640497942 is about 25308.0608107378. The cubic root of 640497942 is about 861.9973146415.

The spelling of 640497942 in words is "six hundred forty million, four hundred ninety-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 367 378 399 486 513 567 729 734 798 1026 1101 1134 1197 1458 1539 1701 2187 2202 2394 2569 3078 3303 3402 3591 4374 4617 5103 5138 6561 6606 6973 7182 7707 9234 9909 10206 10773 13122 13851 13946 15309 15414 19818 20919 21546 23121 27702 29727 30618 32319 41553 41838 45927 46242 48811 59454 62757 64638 69363 83106 89181 91854 96957 97622 124659 125514 138726 146433 178362 188271 193914 208089 249318 267543 290871 292866 376542 416178 439299 535086 564813 581742 624267 802629 872613 878598 1129626 1248534 1317897 1605258 1694439 1745226 1872801 2407887 2635794 3388878 3745602 3953691 4815774 5083317 5618403 7907382 10166634 11236806 11861073 15249951 16855209 23722146 30499902 33710418 35583219 45749853 71166438 91499706 106749657 213499314 320248971 640497942