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4062441540 = 22354110316033
BaseRepresentation
bin1111001000100011…
…1111000001000100
3101111010012102010210
43302020333001010
531304441112130
61511040115420
7202446116613
oct36210770104
911433172123
104062441540
1117a5162503
12954605b70
134c9844a81
142a776987a
1518b9ab5b0
hexf223f044

4062441540 has 96 divisors (see below), whose sum is σ = 11766134016. Its totient is φ = 1046568960.

The previous prime is 4062441517. The next prime is 4062441563. The reversal of 4062441540 is 451442604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4062441517) and next prime (4062441563).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4062441498 and 4062441507.

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, 245364 + ... + 261396.

It is an arithmetic number, because the mean of its divisors is an integer number (122563896).

Almost surely, 24062441540 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 4062441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883067008).

4062441540 is an abundant number, since it is smaller than the sum of its proper divisors (7703692476).

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

4062441540 is a wasteful number, since it uses less digits than its factorization.

4062441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4062441540 is about 63737.2853202896. The cubic root of 4062441540 is about 1595.6184209100.

The spelling of 4062441540 in words is "four billion, sixty-two million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 2060 2460 3090 4223 6180 8446 12669 16033 16892 21115 25338 32066 42230 48099 50676 63345 64132 80165 84460 96198 126690 160330 192396 240495 253380 320660 480990 657353 961980 1314706 1651399 1972059 2629412 3286765 3302798 3944118 4954197 6573530 6605596 7888236 8256995 9860295 9908394 13147060 16513990 19720590 19816788 24770985 33027980 39441180 49541970 67707359 99083940 135414718 203122077 270829436 338536795 406244154 677073590 812488308 1015610385 1354147180 2031220770 4062441540