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485154960 = 243531611069
BaseRepresentation
bin11100111010101…
…110000010010000
31020210220102111020
4130322232002100
51443144424320
6120050315440
715010514643
oct3472560220
91223812436
10485154960
11229948114
12116588b80
1379688154
144860da5a
152c8d4940
hex1ceae090

485154960 has 160 divisors (see below), whose sum is σ = 1579422720. Its totient is φ = 123033600.

The previous prime is 485154953. The next prime is 485154961. The reversal of 485154960 is 69451584.

It is not an unprimeable number, because it can be changed into a prime (485154961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453306 + ... + 454374.

It is an arithmetic number, because the mean of its divisors is an integer number (9871392).

Almost surely, 2485154960 is an apocalyptic number.

485154960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485154960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789711360).

485154960 is an abundant number, since it is smaller than the sum of its proper divisors (1094267760).

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

485154960 is a wasteful number, since it uses less digits than its factorization.

485154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 485154960 is about 22026.2334501385. The cubic root of 485154960 is about 785.7664684429.

The spelling of 485154960 in words is "four hundred eighty-five million, one hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 61 62 80 93 120 122 124 155 183 186 240 244 248 305 310 366 372 465 488 496 610 620 732 744 915 930 976 1069 1220 1240 1464 1488 1830 1860 1891 2138 2440 2480 2928 3207 3660 3720 3782 4276 4880 5345 5673 6414 7320 7440 7564 8552 9455 10690 11346 12828 14640 15128 16035 17104 18910 21380 22692 25656 28365 30256 32070 33139 37820 42760 45384 51312 56730 64140 65209 66278 75640 85520 90768 99417 113460 128280 130418 132556 151280 165695 195627 198834 226920 256560 260836 265112 326045 331390 391254 397668 453840 497085 521672 530224 652090 662780 782508 795336 978135 994170 1043344 1304180 1325560 1565016 1590672 1956270 1988340 2021479 2608360 2651120 3130032 3912540 3976680 4042958 5216720 6064437 7825080 7953360 8085916 10107395 12128874 15650160 16171832 20214790 24257748 30322185 32343664 40429580 48515496 60644370 80859160 97030992 121288740 161718320 242577480 485154960