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3744485226 = 2333116313723
BaseRepresentation
bin1101111100110000…
…0100111101101010
3100122221220120002000
43133030010331222
530132042011401
61415321151430
7161535412356
oct33714047552
910587816060
103744485226
111651734199
1288602b576
134789cab41
14277440466
1516db02186
hexdf304f6a

3744485226 has 64 divisors (see below), whose sum is σ = 8642826240. Its totient is φ = 1200400560.

The previous prime is 3744485201. The next prime is 3744485293. The reversal of 3744485226 is 6225844473.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266001 + ... + 279723.

It is an arithmetic number, because the mean of its divisors is an integer number (135044160).

Almost surely, 23744485226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744485226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321413120).

3744485226 is an abundant number, since it is smaller than the sum of its proper divisors (4898341014).

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

3744485226 is a wasteful number, since it uses less digits than its factorization.

3744485226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13922 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 3744485226 is about 61192.1990616451. The cubic root of 3744485226 is about 1552.8542933389.

The spelling of 3744485226 in words is "three billion, seven hundred forty-four million, four hundred eighty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 163 186 279 326 489 558 837 978 1467 1674 2934 4401 5053 8802 10106 13723 15159 27446 30318 41169 45477 82338 90954 123507 136431 247014 272862 370521 425413 741042 850826 1276239 2236849 2552478 3828717 4473698 6710547 7657434 11486151 13421094 20131641 22972302 40263282 60394923 69342319 120789846 138684638 208026957 416053914 624080871 1248161742 1872242613 3744485226