Search a number
-
+
473705040 = 243511317467
BaseRepresentation
bin11100001111000…
…010101001010000
31020000100201011010
4130033002221100
51432232030130
6115001050520
714511266154
oct3417025120
91200321133
10473705040
11223437676
12112786a40
13771a9653
1446cad064
152b8c20b0
hex1c3c2a50

473705040 has 80 divisors (see below), whose sum is σ = 1481565888. Its totient is φ = 125196288.

The previous prime is 473705009. The next prime is 473705083. The reversal of 473705040 is 40507374.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 473704989 and 473705007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18387 + ... + 35853.

Almost surely, 2473705040 is an apocalyptic number.

473705040 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 473705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740782944).

473705040 is an abundant number, since it is smaller than the sum of its proper divisors (1007860848).

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

473705040 is a wasteful number, since it uses less digits than its factorization.

473705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596 (or 17590 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 473705040 is about 21764.7660221745. The cubic root of 473705040 is about 779.5356868437.

The spelling of 473705040 in words is "four hundred seventy-three million, seven hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 17467 27120 34934 52401 69868 87335 104802 139736 174670 209604 262005 279472 349340 419208 524010 698680 838416 1048020 1397360 1973771 2096040 3947542 4192080 5921313 7895084 9868855 11842626 15790168 19737710 23685252 29606565 31580336 39475420 47370504 59213130 78950840 94741008 118426260 157901680 236852520 473705040