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3729079296 = 2103444959
BaseRepresentation
bin1101111001000101…
…0011110000000000
3100121212220212010000
43132101103300000
530114121014141
61414011040000
7161260436205
oct33621236000
910555825100
103729079296
111643a71518
12880a40000
134757657c7
1427538dcac
1516c5ac5b6
hexde453c00

3729079296 has 110 divisors (see below), whose sum is σ = 11136007520. Its totient is φ = 1242998784.

The previous prime is 3729079181. The next prime is 3729079307. The reversal of 3729079296 is 6929709273.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 60465 + ... + 105423.

It is an arithmetic number, because the mean of its divisors is an integer number (101236432).

Almost surely, 23729079296 is an apocalyptic number.

3729079296 is a gapful number since it is divisible by the number (36) 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 3729079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568003760).

3729079296 is an abundant number, since it is smaller than the sum of its proper divisors (7406928224).

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

3729079296 is an equidigital number, since it uses as much as digits as its factorization.

3729079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44991 (or 44964 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3729079296 is about 61066.1878292726. The cubic root of 3729079296 is about 1550.7217306225.

The spelling of 3729079296 in words is "three billion, seven hundred twenty-nine million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 44959 82944 89918 134877 179836 269754 359672 404631 539508 719344 809262 1079016 1213893 1438688 1618524 2158032 2427786 2877376 3237048 3641679 4316064 4855572 5754752 6474096 7283358 8632128 9711144 11509504 12948192 14566716 17264256 19422288 23019008 25896384 29133432 34528512 38844576 46038016 51792768 58266864 69057024 77689152 103585536 116533728 138114048 155378304 207171072 233067456 310756608 414342144 466134912 621513216 932269824 1243026432 1864539648 3729079296