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841420476 = 2232133159983
BaseRepresentation
bin110010001001110…
…000111010111100
32011122021120220100
4302021300322330
53210400423401
6215254321100
726564645631
oct6211607274
92148246810
10841420476
113a1a61726
121b5959190
13105426150
147da6c188
154dd09b86
hex32270ebc

841420476 has 144 divisors (see below), whose sum is σ = 2406942720. Its totient is φ = 246049920.

The previous prime is 841420451. The next prime is 841420483. The reversal of 841420476 is 674024148.

841420476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 841420476.

It is a congruent number.

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, 855481 + ... + 856463.

It is an arithmetic number, because the mean of its divisors is an integer number (16714880).

Almost surely, 2841420476 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 841420476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203471360).

841420476 is an abundant number, since it is smaller than the sum of its proper divisors (1565522244).

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

841420476 is a wasteful number, since it uses less digits than its factorization.

841420476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 841420476 is about 29007.2486802868. The cubic root of 841420476 is about 944.0703513954.

The spelling of 841420476 in words is "eight hundred forty-one million, four hundred twenty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 59 62 78 93 117 118 124 156 177 186 234 236 279 354 372 403 468 531 558 708 767 806 983 1062 1116 1209 1534 1612 1829 1966 2124 2301 2418 2949 3068 3627 3658 3932 4602 4836 5487 5898 6903 7254 7316 8847 9204 10974 11796 12779 13806 14508 16461 17694 21948 23777 25558 27612 30473 32922 35388 38337 47554 51116 57997 60946 65844 71331 76674 91419 95108 115011 115994 121892 142662 153348 173991 182838 213993 230022 231988 274257 285324 347982 365676 396149 427986 460044 521973 548514 695964 753961 792298 855972 1043946 1097028 1188447 1507922 1584596 1797907 2087892 2261883 2376894 3015844 3565341 3595814 4523766 4753788 5393721 6785649 7130682 7191628 9047532 10787442 13571298 14261364 16181163 21574884 23372791 27142596 32362326 46745582 64724652 70118373 93491164 140236746 210355119 280473492 420710238 841420476