Search a number
-
+
42820425582 = 231123199229619
BaseRepresentation
bin100111111000010010…
…111101011101101110
311002112020012000001020
4213320102331131232
51200144012104312
631401010155010
73044062416624
oct477022753556
9132466160036
1042820425582
1117184017580
128370582a66
1340654b183c
142102dcb514
1511a940878c
hex9f84bd76e

42820425582 has 128 divisors (see below), whose sum is σ = 98565120000. Its totient is φ = 12275556480.

The previous prime is 42820425577. The next prime is 42820425601. The reversal of 42820425582 is 28552402824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69176469 + ... + 69177087.

It is an arithmetic number, because the mean of its divisors is an integer number (770040000).

Almost surely, 242820425582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42820425582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560000).

42820425582 is an abundant number, since it is smaller than the sum of its proper divisors (55744694418).

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

42820425582 is a wasteful number, since it uses less digits than its factorization.

42820425582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086.

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 42820425582 in words is "forty-two billion, eight hundred twenty million, four hundred twenty-five thousand, five hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 199 229 253 398 458 506 597 619 687 759 1194 1238 1374 1518 1857 2189 2519 3714 4378 4577 5038 5267 6567 6809 7557 9154 10534 13134 13618 13731 14237 15114 15801 20427 27462 28474 31602 40854 42711 45571 50347 57937 85422 91142 100694 115874 123181 136713 141751 151041 156607 173811 246362 273426 283502 302082 313214 347622 369543 425253 469821 501281 739086 850506 939642 1002562 1048133 1354991 1503843 1559261 2096266 2709982 2833163 3007686 3118522 3144399 3260273 4064973 4677783 5666326 6288798 6520546 8129946 8499489 9355566 9780819 11529463 16998978 19561638 23058926 28208449 31164793 34588389 35863003 56416898 62329586 69176778 71726006 84625347 93494379 107589009 169250694 186988758 215178018 310292939 620585878 648794327 930878817 1297588654 1861757634 1946382981 3892765962 7136737597 14273475194 21410212791 42820425582