Search a number
-
+
4287278916 = 2233291499187
BaseRepresentation
bin1111111110001010…
…1010111101000100
3102001210021100001000
43333202222331010
532240020411131
61545231133300
7211146161304
oct37742527504
912053240030
104287278916
11190006a118
129b7974230
135342b723b
142c9575604
151a15bece6
hexff8aaf44

4287278916 has 96 divisors (see below), whose sum is σ = 11576880000. Its totient is φ = 1370404224.

The previous prime is 4287278903. The next prime is 4287278917. The reversal of 4287278916 is 6198727824.

It is a happy number.

4287278916 is a `hidden beast` number, since 4 + 287 + 278 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4287278917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462075 + ... + 471261.

It is an arithmetic number, because the mean of its divisors is an integer number (120592500).

Almost surely, 24287278916 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 4287278916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788440000).

4287278916 is an abundant number, since it is smaller than the sum of its proper divisors (7289601084).

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

4287278916 is a wasteful number, since it uses less digits than its factorization.

4287278916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9370 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 4287278916 is about 65477.3160415117. The cubic root of 4287278916 is about 1624.5281679913.

The spelling of 4287278916 in words is "four billion, two hundred eighty-seven million, two hundred seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 149 174 261 298 348 447 522 596 783 894 1044 1341 1566 1788 2682 3132 4023 4321 5364 8046 8642 9187 12963 16092 17284 18374 25926 27561 36748 38889 51852 55122 77778 82683 110244 116667 155556 165366 233334 248049 266423 330732 466668 496098 532846 799269 992196 1065692 1368863 1598538 2397807 2737726 3197076 4106589 4795614 5475452 7193421 8213178 9591228 12319767 14386842 16426356 24639534 28773684 36959301 39697027 49279068 73918602 79394054 119091081 147837204 158788108 238182162 357273243 476364324 714546486 1071819729 1429092972 2143639458 4287278916