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473530440 = 233523374637
BaseRepresentation
bin11100001110011…
…000000001001000
31020000000211122110
4130032120001020
51432210433230
6114553222320
714506641135
oct3416300110
91200024573
10473530440
11223328479
121127019a0
1377148036
1446c6558c
152b88a4b0
hex1c398048

473530440 has 128 divisors (see below), whose sum is σ = 1522748160. Its totient is φ = 117494784.

The previous prime is 473530433. The next prime is 473530459. The reversal of 473530440 is 44035374.

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 = 473530398 and 473530407.

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, 99802 + ... + 104438.

It is an arithmetic number, because the mean of its divisors is an integer number (11896470).

Almost surely, 2473530440 is an apocalyptic number.

473530440 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 473530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761374080).

473530440 is an abundant number, since it is smaller than the sum of its proper divisors (1049217720).

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

473530440 is a wasteful number, since it uses less digits than its factorization.

473530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 473530440 is about 21760.7545825047. The cubic root of 473530440 is about 779.4399003345.

The spelling of 473530440 in words is "four hundred seventy-three million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 4637 5106 6808 8510 9274 10212 12765 13911 17020 18548 20424 23185 25530 27822 34040 37096 46370 51060 55644 69555 92740 102120 106651 111288 139110 171569 185480 213302 278220 319953 343138 426604 514707 533255 556440 639906 686276 853208 857845 1029414 1066510 1279812 1372552 1599765 1715690 2058828 2133020 2559624 2573535 3199530 3431380 3946087 4117656 4266040 5147070 6399060 6862760 7892174 10294140 11838261 12798120 15784348 19730435 20588280 23676522 31568696 39460870 47353044 59191305 78921740 94706088 118382610 157843480 236765220 473530440