Search a number
-
+
4015050984 = 23337354193
BaseRepresentation
bin1110111101010000…
…1101000011101000
3101100211000201112000
43233110031003220
531210323112414
61502224251000
7201332241000
oct35724150350
911324021460
104015050984
11178043425a
12940770a60
134bca91319
142a1351000
15187749b09
hexef50d0e8

4015050984 has 128 divisors (see below), whose sum is σ = 13006560000. Its totient is φ = 1147136256.

The previous prime is 4015050983. The next prime is 4015051009. The reversal of 4015050984 is 4890505104.

4015050984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40150509842 = 32241268808238736512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4015050983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46992 + ... + 101184.

It is an arithmetic number, because the mean of its divisors is an integer number (101613750).

Almost surely, 24015050984 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 4015050984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503280000).

4015050984 is an abundant number, since it is smaller than the sum of its proper divisors (8991509016).

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

4015050984 is a wasteful number, since it uses less digits than its factorization.

4015050984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54229 (or 54205 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4015050984 is about 63364.4299587710. The cubic root of 4015050984 is about 1589.3895556246.

The spelling of 4015050984 in words is "four billion, fifteen million, fifty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 54193 74088 108386 162579 216772 325158 379351 433544 487737 650316 758702 975474 1138053 1300632 1463211 1517404 1950948 2276106 2655457 2926422 3034808 3414159 3901896 4552212 5310914 5852844 6828318 7966371 9104424 10242477 10621828 11705688 13656636 15932742 18588199 20484954 21243656 23899113 27313272 31865484 37176398 40969908 47798226 55764597 63730968 71697339 74352796 81939816 95596452 111529194 143394678 148705592 167293791 191192904 223058388 286789356 334587582 446116776 501881373 573578712 669175164 1003762746 1338350328 2007525492 4015050984