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4042284660 = 2232543522259
BaseRepresentation
bin1111000011110000…
…0101111001110100
3101102201021100002200
43300330011321310
531234311102120
61505040104500
7202112565321
oct36074057164
911381240080
104042284660
111794845327
12949905130
134c560811b
142a4bddb48
15189d28e90
hexf0f05e74

4042284660 has 72 divisors (see below), whose sum is σ = 12546774240. Its totient is φ = 1052872128.

The previous prime is 4042284619. The next prime is 4042284671. The reversal of 4042284660 is 664822404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253390 + ... + 268869.

Almost surely, 24042284660 is an apocalyptic number.

It is an amenable number.

4042284660 is an abundant number, since it is smaller than the sum of its proper divisors (8504489580).

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

4042284660 is a wasteful number, since it uses less digits than its factorization.

4042284660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522317 (or 522312 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4042284660 is about 63578.9639739435. The cubic root of 4042284660 is about 1592.9750162476.

The spelling of 4042284660 in words is "four billion, forty-two million, two hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 522259 1044518 1566777 2089036 2611295 3133554 4700331 5222590 6267108 7833885 9400662 10445180 15667770 18801324 22457137 23501655 31335540 44914274 47003310 67371411 89828548 94006620 112285685 134742822 202114233 224571370 269485644 336857055 404228466 449142740 673714110 808456932 1010571165 1347428220 2021142330 4042284660