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742697505 = 34511433877
BaseRepresentation
bin101100010001001…
…010101000100001
31220202111221110000
4230101022220201
53010112310010
6201410330213
724255552564
oct5421125041
91822457400
10742697505
113512626a0
12188889969
13bab3b9a4
14708d04db
15453087c0
hex2c44aa21

742697505 has 80 divisors (see below), whose sum is σ = 1486545984. Its totient is φ = 351630720.

The previous prime is 742697489. The next prime is 742697507. The reversal of 742697505 is 505796247.

It is not a de Polignac number, because 742697505 - 24 = 742697489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (742697507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189627 + ... + 193503.

Almost surely, 2742697505 is an apocalyptic number.

It is an amenable number.

742697505 is an abundant number, since it is smaller than the sum of its proper divisors (743848479).

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

742697505 is a wasteful number, since it uses less digits than its factorization.

742697505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 742697505 is about 27252.4770433808. The cubic root of 742697505 is about 905.6018929845.

The spelling of 742697505 in words is "seven hundred forty-two million, six hundred ninety-seven thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 81 99 129 135 165 215 297 387 405 473 495 645 891 1161 1419 1485 1935 2365 3483 3877 4257 4455 5805 7095 11631 12771 17415 19385 21285 34893 38313 42647 58155 63855 104679 127941 166711 174465 191565 213235 314037 383823 500133 523395 639705 833555 1151469 1500399 1570185 1833821 1919115 2500665 3454407 4501197 5501463 5757345 7501995 9169105 13503591 16504389 17272035 22505985 27507315 49513167 67517955 82521945 148539501 247565835 742697505