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4098057236 = 2271371257617
BaseRepresentation
bin1111010001000011…
…0110010000010100
3101120121012212200122
43310100312100110
531343100312421
61514351331112
7203360624510
oct36420662024
911517185618
104098057236
111813279069
12964520a98
13504034b50
142ac39b140
1518eb942ab
hexf4436414

4098057236 has 96 divisors (see below), whose sum is σ = 9000294912. Its totient is φ = 1589575680.

The previous prime is 4098057203. The next prime is 4098057241. The reversal of 4098057236 is 6327508904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6641600 + ... + 6642216.

It is an arithmetic number, because the mean of its divisors is an integer number (93753072).

Almost surely, 24098057236 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 4098057236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500147456).

4098057236 is an abundant number, since it is smaller than the sum of its proper divisors (4902237676).

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

4098057236 is a wasteful number, since it uses less digits than its factorization.

With its successor (4098057237) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (967).

With its successor (4098057237) it forms an eRAP, since the sums of their prime factors are consecutive (969 and 970).

4098057236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 4098057236 is about 64016.0701386769. The cubic root of 4098057236 is about 1600.2678244371.

The spelling of 4098057236 in words is "four billion, ninety-eight million, fifty-seven thousand, two hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 257 284 364 497 514 617 923 994 1028 1234 1799 1846 1988 2468 3341 3598 3692 4319 6461 6682 7196 8021 8638 12922 13364 16042 17276 18247 23387 25844 32084 36494 43807 46774 56147 72988 87614 93548 112294 127729 158569 175228 224588 237211 255458 306649 317138 474422 510916 569491 613298 634276 948844 1109983 1138982 1226596 1660477 2061397 2219966 2277964 3320954 3986437 4122794 4439932 6641908 7972874 8245588 11258399 14429779 15945748 22516798 28859558 45033596 57719116 78808793 146359187 157617586 292718374 315235172 585436748 1024514309 2049028618 4098057236