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485633880 = 23345374051
BaseRepresentation
bin11100111100100…
…010111101011000
31020211210202110000
4130330202331120
51443310241010
6120104453000
715014551134
oct3474427530
91224722400
10485633880
1122a144a16
1211677a160
13797c5134
14486d63c4
152c97b7c0
hex1cf22f58

485633880 has 160 divisors (see below), whose sum is σ = 1676798640. Its totient is φ = 125971200.

The previous prime is 485633839. The next prime is 485633881. The reversal of 485633880 is 88336584.

485633880 is a `hidden beast` number, since 4 + 8 + 5 + 633 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485633881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117855 + ... + 121905.

Almost surely, 2485633880 is an apocalyptic number.

485633880 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 485633880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838399320).

485633880 is an abundant number, since it is smaller than the sum of its proper divisors (1191164760).

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

485633880 is a wasteful number, since it uses less digits than its factorization.

485633880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 485633880 is about 22037.1023503545. The cubic root of 485633880 is about 786.0249394802.

The spelling of 485633880 in words is "four hundred eighty-five million, six hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2220 2664 2997 3240 3330 3996 4051 4440 4995 5994 6660 7992 8102 9990 11988 12153 13320 14985 16204 19980 20255 23976 24306 29970 32408 36459 39960 40510 48612 59940 60765 72918 81020 97224 109377 119880 121530 145836 149887 162040 182295 218754 243060 291672 299774 328131 364590 437508 449661 486120 546885 599548 656262 729180 749435 875016 899322 1093770 1199096 1312524 1348983 1458360 1498870 1640655 1798644 2187540 2248305 2625048 2697966 2997740 3281310 3597288 4046949 4375080 4496610 5395932 5995480 6562620 6744915 8093898 8993220 10791864 12140847 13125240 13489830 16187796 17986440 20234745 24281694 26979660 32375592 40469490 48563388 53959320 60704235 80938980 97126776 121408470 161877960 242816940 485633880