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469531040 = 25511192739
BaseRepresentation
bin11011111111000…
…111100110100000
31012201111122111112
4123333013212200
51430144443130
6114331402452
714430643106
oct3377074640
91181448445
10469531040
11221046690
121112b3428
1376377824
1446503c76
152b34a495
hex1bfc79a0

469531040 has 144 divisors (see below), whose sum is σ = 1278879840. Its totient is φ = 161533440.

The previous prime is 469531009. The next prime is 469531063. The reversal of 469531040 is 40135964.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 469530988 and 469531006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634991 + ... + 635729.

It is an arithmetic number, because the mean of its divisors is an integer number (8881110).

Almost surely, 2469531040 is an apocalyptic number.

469531040 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 469531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639439920).

469531040 is an abundant number, since it is smaller than the sum of its proper divisors (809348800).

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

469531040 is a wasteful number, since it uses less digits than its factorization.

469531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 469531040 is about 21668.6649334932. The cubic root of 469531040 is about 777.2393311502.

The spelling of 469531040 in words is "four hundred sixty-nine million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 361 380 418 440 608 722 739 760 836 880 1045 1444 1478 1520 1672 1760 1805 2090 2888 2956 3040 3344 3610 3695 3971 4180 5776 5912 6688 7220 7390 7942 8129 8360 11552 11824 14041 14440 14780 15884 16258 16720 19855 23648 28082 28880 29560 31768 32516 33440 39710 40645 56164 57760 59120 63536 65032 70205 79420 81290 112328 118240 127072 130064 140410 154451 158840 162580 224656 260128 266779 280820 308902 317680 325160 449312 533558 561640 617804 635360 650320 772255 1067116 1123280 1235608 1300640 1333895 1544510 2134232 2246560 2471216 2667790 2934569 3089020 4268464 4942432 5335580 5869138 6178040 8536928 10671160 11738276 12356080 14672845 21342320 23476552 24712160 29345690 42684640 46953104 58691380 93906208 117382760 234765520 469531040