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472273440 = 25354432221
BaseRepresentation
bin11100001001100…
…101001000100000
31012220122222100220
4130021211020200
51431400222230
6114510243040
714463154332
oct3411451040
91186588326
10472273440
1122264a031
121121b6480
1376ac7b52
1446a19452
152b6dcd10
hex1c265220

472273440 has 96 divisors (see below), whose sum is σ = 1491690816. Its totient is φ = 125598720.

The previous prime is 472273411. The next prime is 472273457. The reversal of 472273440 is 44372274.

It is a tau number, because it is divible by the number of its divisors (96).

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, 211530 + ... + 213750.

It is an arithmetic number, because the mean of its divisors is an integer number (15538446).

Almost surely, 2472273440 is an apocalyptic number.

472273440 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 472273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745845408).

472273440 is an abundant number, since it is smaller than the sum of its proper divisors (1019417376).

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

472273440 is a wasteful number, since it uses less digits than its factorization.

472273440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 472273440 is about 21731.8531193269. The cubic root of 472273440 is about 778.7496073898.

The spelling of 472273440 in words is "four hundred seventy-two million, two hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 443 480 886 1329 1772 2215 2221 2658 3544 4430 4442 5316 6645 6663 7088 8860 8884 10632 11105 13290 13326 14176 17720 17768 21264 22210 26580 26652 33315 35440 35536 42528 44420 53160 53304 66630 70880 71072 88840 106320 106608 133260 177680 212640 213216 266520 355360 533040 983903 1066080 1967806 2951709 3935612 4919515 5903418 7871224 9839030 11806836 14758545 15742448 19678060 23613672 29517090 31484896 39356120 47227344 59034180 78712240 94454688 118068360 157424480 236136720 472273440