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469812840 = 233574313007
BaseRepresentation
bin11100000000001…
…100011001101000
31012202000222001120
4130000030121220
51430233002330
6114341415240
714433225510
oct3400143150
91182028046
10469812840
11221219382
1211140a520
1376445b83
1446578840
152b3a3c10
hex1c00c668

469812840 has 128 divisors (see below), whose sum is σ = 1648373760. Its totient is φ = 104880384.

The previous prime is 469812787. The next prime is 469812841. The reversal of 469812840 is 48218964.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 469812792 and 469812801.

It is not an unprimeable number, because it can be changed into a prime (469812841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29617 + ... + 42623.

It is an arithmetic number, because the mean of its divisors is an integer number (12877920).

Almost surely, 2469812840 is an apocalyptic number.

469812840 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 469812840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824186880).

469812840 is an abundant number, since it is smaller than the sum of its proper divisors (1178560920).

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

469812840 is a wasteful number, since it uses less digits than its factorization.

469812840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 469812840 is about 21675.1664353472. The cubic root of 469812840 is about 777.3947928213.

The spelling of 469812840 in words is "four hundred sixty-nine million, eight hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 13007 18060 26014 36120 39021 52028 65035 78042 91049 104056 130070 156084 182098 195105 260140 273147 312168 364196 390210 455245 520280 546294 559301 728392 780420 910490 1092588 1118602 1365735 1560840 1677903 1820980 2185176 2237204 2731470 2796505 3355806 3641960 3915107 4474408 5462940 5593010 6711612 7830214 8389515 10925880 11186020 11745321 13423224 15660428 16779030 19575535 22372040 23490642 31320856 33558060 39151070 46981284 58726605 67116120 78302140 93962568 117453210 156604280 234906420 469812840