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3742596090 = 235511931291
BaseRepresentation
bin1101111100010011…
…0111101111111010
3100122211100120200000
43133010313233322
530131101033330
61415212453430
7161513353602
oct33704675772
910584316600
103742596090
111650663922
1288547a276
134784b8ccc
142770abc02
1516d87c560
hexdf137bfa

3742596090 has 96 divisors (see below), whose sum is σ = 10107429696. Its totient is φ = 996416640.

The previous prime is 3742596061. The next prime is 3742596119. The reversal of 3742596090 is 906952473.

It is a happy number.

3742596090 is a `hidden beast` number, since 37 + 4 + 2 + 5 + 9 + 609 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3742596061) and next prime (3742596119).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898345 + ... + 2899635.

It is an arithmetic number, because the mean of its divisors is an integer number (105285726).

Almost surely, 23742596090 is an apocalyptic number.

3742596090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742596090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053714848).

3742596090 is an abundant number, since it is smaller than the sum of its proper divisors (6364833606).

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

3742596090 is a wasteful number, since it uses less digits than its factorization.

3742596090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2494 counting only the distinct ones).

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

The square root of 3742596090 is about 61176.7610290051. The cubic root of 3742596090 is about 1552.5931051073.

The spelling of 3742596090 in words is "three billion, seven hundred forty-two million, five hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1193 1215 1291 2386 2430 2582 3579 3873 5965 6455 7158 7746 10737 11619 11930 12910 17895 19365 21474 23238 32211 34857 35790 38730 53685 58095 64422 69714 96633 104571 107370 116190 161055 174285 193266 209142 289899 313713 322110 348570 483165 522855 579798 627426 966330 1045710 1449495 1540163 1568565 2898990 3080326 3137130 4620489 7700815 9240978 13861467 15401630 23102445 27722934 41584401 46204890 69307335 83168802 124753203 138614670 207922005 249506406 374259609 415844010 623766015 748519218 1247532030 1871298045 3742596090