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461033540 = 2251117131941
BaseRepresentation
bin11011011110101…
…101000001000100
31012010111221010022
4123132231001010
51421011033130
6113425314312
714265502052
oct3336550104
91163457108
10461033540
11217272360
1210a495998
1374690b16
14453311d2
152a71c7e5
hex1b7ad044

461033540 has 96 divisors (see below), whose sum is σ = 1128048768. Its totient is φ = 156416000.

The previous prime is 461033539. The next prime is 461033567. The reversal of 461033540 is 45330164.

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, 489470 + ... + 490410.

It is an arithmetic number, because the mean of its divisors is an integer number (11750508).

Almost surely, 2461033540 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 461033540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564024384).

461033540 is an abundant number, since it is smaller than the sum of its proper divisors (667015228).

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

461033540 is a wasteful number, since it uses less digits than its factorization.

461033540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 461033540 is about 21471.6915961458. The cubic root of 461033540 is about 772.5219719839.

The spelling of 461033540 in words is "four hundred sixty-one million, thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 131 170 187 220 262 340 374 524 655 748 935 941 1310 1441 1870 1882 2227 2620 2882 3740 3764 4454 4705 5764 7205 8908 9410 10351 11135 14410 15997 18820 20702 22270 24497 28820 31994 41404 44540 48994 51755 63988 79985 97988 103510 122485 123271 159970 175967 207020 244970 246542 319940 351934 489940 493084 616355 703868 879835 1232710 1355981 1759670 2095607 2465420 2711962 3519340 4191214 5423924 6779905 8382428 10478035 13559810 20956070 23051677 27119620 41912140 46103354 92206708 115258385 230516770 461033540