Search a number
-
+
468767460 = 223571577109
BaseRepresentation
bin11011111100001…
…101001011100100
31012200001212001210
4123330031023210
51430001024320
6114303151420
714421312660
oct3374151344
91180055053
10468767460
11220674a27
12110ba5570
137616b0c5
14463858a0
152b2490e0
hex1bf0d2e4

468767460 has 96 divisors (see below), whose sum is σ = 1509822720. Its totient is φ = 106449408.

The previous prime is 468767459. The next prime is 468767479. The reversal of 468767460 is 64767864.

It is a happy number.

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, 62386 + ... + 69494.

It is an arithmetic number, because the mean of its divisors is an integer number (15727320).

Almost surely, 2468767460 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 468767460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754911360).

468767460 is an abundant number, since it is smaller than the sum of its proper divisors (1041055260).

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

468767460 is a wasteful number, since it uses less digits than its factorization.

468767460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 468767460 is about 21651.0383122842. The cubic root of 468767460 is about 776.8177712184.

The spelling of 468767460 in words is "four hundred sixty-eight million, seven hundred sixty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 4396 4710 5495 6594 7109 9420 10990 13188 14218 16485 21327 21980 28436 32970 35545 42654 49763 65940 71090 85308 99526 106635 142180 149289 199052 213270 248815 298578 426540 497630 597156 746445 995260 1116113 1492890 2232226 2985780 3348339 4464452 5580565 6696678 7812791 11161130 13393356 15625582 16741695 22322260 23438373 31251164 33483390 39063955 46876746 66966780 78127910 93753492 117191865 156255820 234383730 468767460