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7390640292 = 22371918112557
BaseRepresentation
bin1101110001000010…
…00011100010100100
3201002001210102112020
412320201003202210
5110114000442132
63221211023140
7351101256150
oct67041034244
921061712466
107390640292
113152907492
12152313aab0
1390a21b249
145017a6060
152d3c7e52c
hex1b88438a4

7390640292 has 96 divisors (see below), whose sum is σ = 20765230080. Its totient is φ = 1998587520.

The previous prime is 7390640263. The next prime is 7390640293. The reversal of 7390640292 is 2920460937.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7390640293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889078 + ... + 2891634.

It is an arithmetic number, because the mean of its divisors is an integer number (216304480).

Almost surely, 27390640292 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 7390640292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382615040).

7390640292 is an abundant number, since it is smaller than the sum of its proper divisors (13374589788).

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

7390640292 is a wasteful number, since it uses less digits than its factorization.

7390640292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 7390640292 is about 85968.8332595017. The cubic root of 7390640292 is about 1947.8732273612.

The spelling of 7390640292 in words is "seven billion, three hundred ninety million, six hundred forty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 1811 2557 3622 5114 5433 7244 7671 10228 10866 12677 15342 17899 21732 25354 30684 34409 35798 38031 48583 50708 53697 68818 71596 76062 97166 103227 107394 137636 145749 152124 194332 206454 214788 240863 291498 340081 412908 481726 582996 680162 722589 963452 1020243 1360324 1445178 2040486 2890356 4080972 4630727 9261454 13892181 18522908 27784362 32415089 55568724 64830178 87983813 97245267 129660356 175967626 194490534 263951439 351935252 388981068 527902878 615886691 1055805756 1231773382 1847660073 2463546764 3695320146 7390640292