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461141450 = 252721171241
BaseRepresentation
bin11011011111000…
…111010111001010
31012010201102010222
4123133013113022
51421023011300
6113431510042
714266431500
oct3337072712
91163642128
10461141450
11217336440
1210a528322
13746cac83
144535c670
152a73e785
hex1b7c75ca

461141450 has 144 divisors (see below), whose sum is σ = 1108375488. Its totient is φ = 141120000.

The previous prime is 461141437. The next prime is 461141489. The reversal of 461141450 is 54141164.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1913330 + ... + 1913570.

It is an arithmetic number, because the mean of its divisors is an integer number (7697052).

Almost surely, 2461141450 is an apocalyptic number.

461141450 is an abundant number, since it is smaller than the sum of its proper divisors (647234038).

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

461141450 is a wasteful number, since it uses less digits than its factorization.

461141450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 461141450 is about 21474.2042925925. The cubic root of 461141450 is about 772.5822397198.

The spelling of 461141450 in words is "four hundred sixty-one million, one hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 49 50 55 70 71 77 98 110 142 154 175 241 245 275 350 355 385 482 490 497 539 550 710 770 781 994 1078 1205 1225 1562 1687 1775 1925 2410 2450 2485 2651 2695 3374 3479 3550 3850 3905 4970 5302 5390 5467 6025 6958 7810 8435 10934 11809 12050 12425 13255 13475 16870 17111 17395 18557 19525 23618 24850 26510 26950 27335 34222 34790 37114 38269 39050 42175 54670 59045 66275 76538 84350 85555 86975 92785 118090 119777 129899 132550 136675 171110 173950 185570 188221 191345 239554 259798 273350 295225 376442 382690 427775 463925 590450 598885 649495 838439 855550 927850 941105 956725 1197770 1298990 1317547 1676878 1882210 1913450 2635094 2994425 3247475 4192195 4705525 5988850 6494950 6587735 8384390 9222829 9411050 13175470 18445658 20960975 32938675 41921950 46114145 65877350 92228290 230570725 461141450