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4198298256 = 243331674679
BaseRepresentation
bin1111101000111100…
…1111001010010000
3101211120211122112000
43322033033022100
532044231021011
61532332034000
7206015642415
oct37217171220
911746748460
104198298256
111864914689
12992002900
1351ba31269
142bb81210c
15198895356
hexfa3cf290

4198298256 has 160 divisors (see below), whose sum is σ = 12627763200. Its totient is φ = 1333791360.

The previous prime is 4198298233. The next prime is 4198298263. The reversal of 4198298256 is 6528928914.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894925 + ... + 899603.

It is an arithmetic number, because the mean of its divisors is an integer number (78923520).

Almost surely, 24198298256 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 4198298256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313881600).

4198298256 is an abundant number, since it is smaller than the sum of its proper divisors (8429464944).

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

4198298256 is a wasteful number, since it uses less digits than its factorization.

4198298256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4782 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 4198298256 is about 64794.2764138932. The cubic root of 4198298256 is about 1613.2107084511.

The spelling of 4198298256 in words is "four billion, one hundred ninety-eight million, two hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 67 72 93 108 124 134 144 186 201 216 248 268 279 372 402 432 496 536 558 603 744 804 837 1072 1116 1206 1488 1608 1674 1809 2077 2232 2412 3216 3348 3618 4154 4464 4679 4824 6231 6696 7236 8308 9358 9648 12462 13392 14037 14472 16616 18693 18716 24924 28074 28944 33232 37386 37432 42111 49848 56079 56148 74772 74864 84222 99696 112158 112296 126333 145049 149544 168444 224316 224592 252666 290098 299088 313493 336888 435147 448632 505332 580196 626986 673776 870294 897264 940479 1010664 1160392 1253972 1305441 1740588 1880958 2021328 2320784 2507944 2610882 2821437 3481176 3761916 3916323 5015888 5221764 5642874 6962352 7523832 7832646 8464311 9718283 10443528 11285748 15047664 15665292 16928622 19436566 20887056 22571496 29154849 31330584 33857244 38873132 45142992 58309698 62661168 67714488 77746264 87464547 116619396 135428976 155492528 174929094 233238792 262393641 349858188 466477584 524787282 699716376 1049574564 1399432752 2099149128 4198298256