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470283440 = 245112192557
BaseRepresentation
bin11100000001111…
…111010010110000
31012202220212121012
4130001333102300
51430343032230
6114355450052
714440225514
oct3401772260
91182825535
10470283440
1122150aa00
121115b6928
137657c133
144665c144
152b448395
hex1c07f4b0

470283440 has 120 divisors (see below), whose sum is σ = 1265596080. Its totient is φ = 161948160.

The previous prime is 470283419. The next prime is 470283449. The reversal of 470283440 is 44382074.

It is a junction number, because it is equal to n+sod(n) for n = 470283397 and 470283406.

It is not an unprimeable number, because it can be changed into a prime (470283449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182642 + ... + 185198.

It is an arithmetic number, because the mean of its divisors is an integer number (10546634).

Almost surely, 2470283440 is an apocalyptic number.

470283440 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 470283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632798040).

470283440 is an abundant number, since it is smaller than the sum of its proper divisors (795312640).

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

470283440 is a wasteful number, since it uses less digits than its factorization.

470283440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 470283440 is about 21686.0194595504. The cubic root of 470283440 is about 777.6542719689.

The spelling of 470283440 in words is "four hundred seventy million, two hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 121 152 176 190 209 220 242 304 380 418 440 484 605 760 836 880 968 1045 1210 1520 1672 1936 2090 2299 2420 2557 3344 4180 4598 4840 5114 8360 9196 9680 10228 11495 12785 16720 18392 20456 22990 25570 28127 36784 40912 45980 48583 51140 56254 91960 97166 102280 112508 140635 183920 194332 204560 225016 242915 281270 309397 388664 450032 485830 534413 562540 618794 777328 971660 1068826 1125080 1237588 1546985 1943320 2137652 2250160 2475176 2672065 3093970 3886640 4275304 4950352 5344130 5878543 6187940 8550608 10688260 11757086 12375880 21376520 23514172 24751760 29392715 42753040 47028344 58785430 94056688 117570860 235141720 470283440