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740752992 = 25337217497
BaseRepresentation
bin101100001001101…
…111111001100000
31220121212011002000
4230021233321200
53004113043432
6201300524000
724233203500
oct5411577140
91817764060
10740752992
11350154761
121880b0600
13ba60a8a5
1470545a00
154507257c
hex2c26fe60

740752992 has 144 divisors (see below), whose sum is σ = 2513412720. Its totient is φ = 211631616.

The previous prime is 740752949. The next prime is 740753021. The reversal of 740752992 is 299257047.

740752992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×7407529923 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33588 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (17454255).

Almost surely, 2740752992 is an apocalyptic number.

740752992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256706360).

740752992 is an abundant number, since it is smaller than the sum of its proper divisors (1772659728).

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

740752992 is a wasteful number, since it uses less digits than its factorization.

740752992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17530 (or 17509 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 740752992 is about 27216.7777666644. Note that the first 4 decimals coincide. The cubic root of 740752992 is about 904.8108604259.

The spelling of 740752992 in words is "seven hundred forty million, seven hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 17497 21168 34994 42336 52491 69988 104982 122479 139976 157473 209964 244958 279952 314946 367437 419928 472419 489916 559904 629892 734874 839856 857353 944838 979832 1102311 1259784 1469748 1679712 1714706 1889676 1959664 2204622 2519568 2572059 2939496 3306933 3429412 3779352 3919328 4409244 5039136 5144118 5878992 6613866 6858824 7558704 7716177 8818488 10288236 11757984 13227732 13717648 15117408 15432354 17636976 20576472 23148531 26455464 27435296 30864708 35273952 41152944 46297062 52910928 61729416 82305888 92594124 105821856 123458832 185188248 246917664 370376496 740752992