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742665616 = 247111931727
BaseRepresentation
bin101100010001000…
…010110110010000
31220202110022200221
4230101002312100
53010110244431
6201405522424
724255360610
oct5421026620
91822408627
10742665616
11351240740
12188873414
13bab2a314
14708c2a40
15452ee111
hex2c442d90

742665616 has 80 divisors (see below), whose sum is σ = 1888450560. Its totient is φ = 274112640.

The previous prime is 742665601. The next prime is 742665661. The reversal of 742665616 is 616566247.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7545 + ... + 39271.

It is an arithmetic number, because the mean of its divisors is an integer number (23605632).

Almost surely, 2742665616 is an apocalyptic number.

742665616 is a gapful number since it is divisible by the number (76) 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 742665616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944225280).

742665616 is an abundant number, since it is smaller than the sum of its proper divisors (1145784944).

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

742665616 is a wasteful number, since it uses less digits than its factorization.

742665616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31772 (or 31766 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 742665616 is about 27251.8919710174. The cubic root of 742665616 is about 905.5889316052.

The spelling of 742665616 in words is "seven hundred forty-two million, six hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 11704 23408 31727 63454 126908 222089 253816 348997 444178 507632 602813 697994 888356 1205626 1395988 1776712 2411252 2442979 2791976 3553424 4219691 4822504 4885958 5583952 6630943 8439382 9645008 9771916 13261886 16878764 19543832 26523772 33757528 39087664 46416601 53047544 67515056 92833202 106095088 185666404 371332808 742665616