Search a number
-
+
461839056 = 243779127137
BaseRepresentation
bin11011100001110…
…001101011010000
31012012000212002020
4123201301223100
51421212322211
6113454451440
714305365360
oct3341615320
91165025066
10461839056
11217772578
1210a803b80
13748b3663
14454a09a0
152a82b306
hex1b871ad0

461839056 has 160 divisors (see below), whose sum is σ = 1401815040. Its totient is φ = 128314368.

The previous prime is 461839033. The next prime is 461839073. The reversal of 461839056 is 650938164.

It is a super-2 number, since 2×4618390562 = 426590627293942272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 461838999 and 461839017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371020 + ... + 3371156.

It is an arithmetic number, because the mean of its divisors is an integer number (8761344).

Almost surely, 2461839056 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 461839056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700907520).

461839056 is an abundant number, since it is smaller than the sum of its proper divisors (939975984).

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

461839056 is a wasteful number, since it uses less digits than its factorization.

461839056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 461839056 is about 21490.4410378196. The cubic root of 461839056 is about 772.9716259981.

The spelling of 461839056 in words is "four hundred sixty-one million, eight hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 127 137 158 168 237 254 274 316 336 381 411 474 508 548 553 632 762 822 889 948 959 1016 1096 1106 1264 1524 1644 1659 1778 1896 1918 2032 2192 2212 2667 2877 3048 3288 3318 3556 3792 3836 4424 5334 5754 6096 6576 6636 7112 7672 8848 10033 10668 10823 11508 13272 14224 15344 17399 20066 21336 21646 23016 26544 30099 32469 34798 40132 42672 43292 46032 52197 60198 64938 69596 70231 75761 80264 86584 104394 120396 121793 129876 139192 140462 151522 160528 173168 208788 210693 227283 240792 243586 259752 278384 280924 303044 365379 417576 421386 454566 481584 487172 519504 561848 606088 730758 835152 842772 909132 974344 1123696 1212176 1374521 1461516 1685544 1818264 1948688 2749042 2923032 3371088 3636528 4123563 5498084 5846064 8247126 9621647 10996168 16494252 19243294 21992336 28864941 32988504 38486588 57729882 65977008 76973176 115459764 153946352 230919528 461839056