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461328552 = 233259131829
BaseRepresentation
bin11011011111110…
…101000010101000
31012011001220210200
4123133311002220
51421100003202
6113435512200
714301141126
oct3337650250
91164056720
10461328552
11217453a73
1210a5b8660
1374765199
14453aa916
152a779e1c
hex1b7f50a8

461328552 has 96 divisors (see below), whose sum is σ = 1281852000. Its totient is φ = 149834880.

The previous prime is 461328551. The next prime is 461328559. The reversal of 461328552 is 255823164.

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

It is not an unprimeable number, because it can be changed into a prime (461328551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556074 + ... + 556902.

It is an arithmetic number, because the mean of its divisors is an integer number (13352625).

Almost surely, 2461328552 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 461328552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640926000).

461328552 is an abundant number, since it is smaller than the sum of its proper divisors (820523448).

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

461328552 is a wasteful number, since it uses less digits than its factorization.

461328552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 461328552 is about 21478.5602869466. The cubic root of 461328552 is about 772.6867139085.

The spelling of 461328552 in words is "four hundred sixty-one million, three hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 131 177 236 262 354 393 472 524 531 708 786 829 1048 1062 1179 1416 1572 1658 2124 2358 2487 3144 3316 4248 4716 4974 6632 7461 7729 9432 9948 14922 15458 19896 23187 29844 30916 46374 48911 59688 61832 69561 92748 97822 108599 139122 146733 185496 195644 217198 278244 293466 325797 391288 434396 440199 556488 586932 651594 868792 880398 977391 1173864 1303188 1760796 1954782 2606376 3521592 3909564 6407341 7819128 12814682 19222023 25629364 38444046 51258728 57666069 76888092 115332138 153776184 230664276 461328552