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742093965 = 3252331101229
BaseRepresentation
bin101100001110110…
…111010010001101
31220201101021112200
4230032313102031
53004434001330
6201345352113
724250460154
oct5416672215
91821337480
10742093965
113509901a8
12188638639
13ba98a072
14707b459b
1545239a60
hex2c3b748d

742093965 has 96 divisors (see below), whose sum is σ = 1405347840. Its totient is φ = 361152000.

The previous prime is 742093931. The next prime is 742093981. The reversal of 742093965 is 569390247.

It is a happy number.

It is not a de Polignac number, because 742093965 - 29 = 742093453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 742093965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3240471 + ... + 3240699.

It is an arithmetic number, because the mean of its divisors is an integer number (14639040).

Almost surely, 2742093965 is an apocalyptic number.

It is an amenable number.

742093965 is a deficient number, since it is larger than the sum of its proper divisors (663253875).

742093965 is a wasteful number, since it uses less digits than its factorization.

742093965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 742093965 is about 27241.4016709860. The cubic root of 742093965 is about 905.3565193825.

The spelling of 742093965 in words is "seven hundred forty-two million, ninety-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 23 31 45 69 93 101 115 155 207 229 279 303 345 465 505 687 713 909 1035 1145 1395 1515 2061 2139 2323 3131 3435 3565 4545 5267 6417 6969 7099 9393 10305 10695 11615 15655 15801 20907 21297 23129 26335 28179 32085 34845 35495 46965 47403 63891 69387 72013 79005 104535 106485 115645 140895 163277 208161 216039 237015 319455 346935 360065 489831 531967 648117 716999 816385 1040805 1080195 1469493 1595901 2150997 2449155 2659835 3240585 3584995 4787703 6452991 7347465 7979505 10754985 16490977 23938515 32264955 49472931 82454885 148418793 247364655 742093965