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470380638 = 237132961487
BaseRepresentation
bin11100000010010…
…111000001011110
31012210002210221010
4130002113001132
51430404140023
6114401520050
714441112060
oct3402270136
91183083833
10470380638
11221576a32
12111643026
13765b4450
1446685730
152b467093
hex1c09705e

470380638 has 128 divisors (see below), whose sum is σ = 1219921920. Its totient is φ = 117573120.

The previous prime is 470380637. The next prime is 470380649. The reversal of 470380638 is 836083074.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 470380596 and 470380605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470380637) 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 63 ways as a sum of consecutive naturals, for example, 965631 + ... + 966117.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2470380638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470380638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609960960).

470380638 is an abundant number, since it is smaller than the sum of its proper divisors (749541282).

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

470380638 is a wasteful number, since it uses less digits than its factorization.

470380638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 470380638 is about 21688.2603728377. The cubic root of 470380638 is about 777.7078433734.

The spelling of 470380638 in words is "four hundred seventy million, three hundred eighty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 61 78 87 91 122 174 182 183 203 273 366 377 406 427 487 546 609 754 793 854 974 1131 1218 1281 1461 1586 1769 2262 2379 2562 2639 2922 3409 3538 4758 5278 5307 5551 6331 6818 7917 10227 10614 11102 12383 12662 14123 15834 16653 18993 20454 22997 24766 28246 29707 33306 37149 37986 42369 44317 45994 59414 68991 74298 84738 88634 89121 98861 132951 137982 160979 178242 183599 197722 207949 265902 296583 321958 367198 386191 415898 482937 550797 593166 623847 772382 861503 965874 1101594 1158573 1247694 1285193 1723006 2317146 2570386 2584509 2703337 3855579 5169018 5406674 6030521 7711158 8110011 11199539 12061042 16220022 18091563 22399078 33598617 36183126 67197234 78396773 156793546 235190319 470380638