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4250076804 = 2235231511259
BaseRepresentation
bin1111110101010011…
…0000011010000100
3101222012021021100000
43331110300122010
532201004424204
61541421521300
7210215025321
oct37524603204
911865237300
104250076804
11189106a676
129a7413230
1352969005c
142c464db48
1519d1c2039
hexfd530684

4250076804 has 144 divisors (see below), whose sum is σ = 11711831040. Its totient is φ = 1345053600.

The previous prime is 4250076799. The next prime is 4250076811. The reversal of 4250076804 is 4086700524.

4250076804 is a `hidden beast` number, since 4 + 2 + 500 + 76 + 80 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3375127 + ... + 3376385.

It is an arithmetic number, because the mean of its divisors is an integer number (81332160).

Almost surely, 24250076804 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 4250076804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855915520).

4250076804 is an abundant number, since it is smaller than the sum of its proper divisors (7461754236).

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

4250076804 is a wasteful number, since it uses less digits than its factorization.

4250076804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4250076804 is about 65192.6131091552. The cubic root of 4250076804 is about 1619.8156580366.

The spelling of 4250076804 in words is "four billion, two hundred fifty million, seventy-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 151 162 207 243 276 302 324 414 453 486 604 621 828 906 972 1242 1259 1359 1812 1863 2484 2518 2718 3473 3726 3777 4077 5036 5436 5589 6946 7452 7554 8154 10419 11178 11331 12231 13892 15108 16308 20838 22356 22662 24462 28957 31257 33993 36693 41676 45324 48924 57914 62514 67986 73386 86871 93771 101979 115828 125028 135972 146772 173742 187542 190109 203958 260613 281313 305937 347484 375084 380218 407916 521226 562626 570327 611874 760436 781839 843939 1042452 1125252 1140654 1223748 1563678 1687878 1710981 2281308 2345517 3127356 3375756 3421962 4372507 4691034 5132943 6843924 7036551 8745014 9382068 10265886 13117521 14073102 15398829 17490028 20531772 26235042 28146204 30797658 39352563 46196487 52470084 61595316 78705126 92392974 118057689 157410252 184785948 236115378 354173067 472230756 708346134 1062519201 1416692268 2125038402 4250076804