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742916096 = 21913109
BaseRepresentation
bin101100010010000…
…000000000000000
31220202221001021222
4230102000000000
53010141303341
6201415134212
724260453066
oct5422000000
91822831258
10742916096
113513a194a
12188974368
13babb7330
147094a036
154534d44b
hex2c480000

742916096 has 80 divisors (see below), whose sum is σ = 1614805500. Its totient is φ = 339738624.

The previous prime is 742916089. The next prime is 742916101. The reversal of 742916096 is 690619247.

It can be written as a sum of positive squares in 2 ways, for example, as 736362496 + 6553600 = 27136^2 + 2560^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6815690 + ... + 6815798.

Almost surely, 2742916096 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 742916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807402750).

742916096 is an abundant number, since it is smaller than the sum of its proper divisors (871889404).

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

742916096 is an frugal number, since it uses more digits than its factorization.

742916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 742916096 is about 27256.4872278142. The cubic root of 742916096 is about 905.6907299625.

The spelling of 742916096 in words is "seven hundred forty-two million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 256 416 436 512 832 872 1024 1417 1664 1744 2048 2834 3328 3488 4096 5668 6656 6976 8192 11336 13312 13952 16384 22672 26624 27904 32768 45344 53248 55808 65536 90688 106496 111616 131072 181376 212992 223232 262144 362752 425984 446464 524288 725504 851968 892928 1451008 1703936 1785856 2902016 3407872 3571712 5804032 6815744 7143424 11608064 14286848 23216128 28573696 46432256 57147392 92864512 185729024 371458048 742916096