Search a number
-
+
7290091424 = 257211715953
BaseRepresentation
bin1101100101000010…
…11111011110100000
3200211001121000102002
412302201133132200
5104412230411144
63203215543132
7345440516600
oct66241373640
920731530362
107290091424
113101080650
1214b552aaa8
138c2444985
144d22b0c00
152ca01c14e
hex1b285f7a0

7290091424 has 144 divisors (see below), whose sum is σ = 18473023296. Its totient is φ = 2799820800.

The previous prime is 7290091411. The next prime is 7290091433. The reversal of 7290091424 is 4241900927.

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 23 ways as a sum of consecutive naturals, for example, 1221632 + ... + 1227584.

It is an arithmetic number, because the mean of its divisors is an integer number (128284884).

Almost surely, 27290091424 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 7290091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236511648).

7290091424 is an abundant number, since it is smaller than the sum of its proper divisors (11182931872).

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

7290091424 is a wasteful number, since it uses less digits than its factorization.

7290091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 7290091424 is about 85382.0322081877. The cubic root of 7290091424 is about 1938.9993266342. Note that the first 3 decimals are identical.

The spelling of 7290091424 in words is "seven billion, two hundred ninety million, ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 71 77 88 98 112 142 154 176 196 224 284 308 352 392 497 539 568 616 781 784 994 1078 1136 1232 1562 1568 1988 2156 2272 2464 3124 3479 3976 4312 5467 5953 6248 6958 7952 8624 10934 11906 12496 13916 15904 17248 21868 23812 24992 27832 38269 41671 43736 47624 55664 65483 76538 83342 87472 95248 111328 130966 153076 166684 174944 190496 261932 291697 306152 333368 422663 458381 523864 583394 612304 666736 845326 916762 1047728 1166788 1224608 1333472 1690652 1833524 2095456 2333576 2958641 3208667 3381304 3667048 4649293 4667152 5917282 6417334 6762608 7334096 9298586 9334304 11834564 12834668 13525216 14668192 18597172 20710487 23669128 25669336 32545051 37194344 41420974 47338256 51338672 65090102 74388688 82841948 94676512 102677344 130180204 148777376 165683896 227815357 260360408 331367792 455630714 520720816 662735584 911261428 1041441632 1822522856 3645045712 7290091424