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4290078282 = 2372173127689
BaseRepresentation
bin1111111110110101…
…0110011001001010
3102001222112120001020
43333231112121022
532241230001112
61545411133310
7211212030600
oct37755263112
912058476036
104290078282
111901701346
129b88a4236
13534a57479
142c9aa3870
151a197448c
hexffb5664a

4290078282 has 96 divisors (see below), whose sum is σ = 10909416960. Its totient is φ = 1116380160.

The previous prime is 4290078281. The next prime is 4290078311. The reversal of 4290078282 is 2828700924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4290078281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141094 + ... + 168782.

It is an arithmetic number, because the mean of its divisors is an integer number (113639760).

Almost surely, 24290078282 is an apocalyptic number.

4290078282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290078282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454708480).

4290078282 is an abundant number, since it is smaller than the sum of its proper divisors (6619338678).

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

4290078282 is a wasteful number, since it uses less digits than its factorization.

4290078282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27756 (or 27749 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4290078282 is about 65498.6891624558. The cubic root of 4290078282 is about 1624.8816680066.

The spelling of 4290078282 in words is "four billion, two hundred ninety million, seventy-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 49 51 62 93 98 102 119 147 186 217 238 294 357 434 527 651 714 833 1054 1302 1519 1581 1666 2499 3038 3162 3689 4557 4998 7378 9114 11067 22134 25823 27689 51646 55378 77469 83067 154938 166134 193823 387646 470713 581469 858359 941426 1162938 1356761 1412139 1716718 2575077 2713522 2824278 3294991 4070283 5150154 6008513 6589982 8140566 9884973 12017026 14592103 18025539 19769946 23064937 29184206 36051078 42059591 43776309 46129874 69194811 84119182 87552618 102144721 126178773 138389622 204289442 252357546 306434163 612868326 715013047 1430026094 2145039141 4290078282