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663922840 = 235741151383
BaseRepresentation
bin100111100100101…
…010100010011000
31201021021202220211
4213210222202120
52324431012330
6145514100504
722311152050
oct4744524230
91637252824
10663922840
11310849069
1216641a734
13a771a269
1464266560
153d447d2a
hex2792a898

663922840 has 128 divisors (see below), whose sum is σ = 1765048320. Its totient is φ = 220032000.

The previous prime is 663922837. The next prime is 663922867. The reversal of 663922840 is 48229366.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 663922793 and 663922802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1733289 + ... + 1733671.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2663922840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663922840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

663922840 is an abundant number, since it is smaller than the sum of its proper divisors (1101125480).

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

663922840 is a wasteful number, since it uses less digits than its factorization.

663922840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 663922840 is about 25766.7002155883. The cubic root of 663922840 is about 872.3803400730.

The spelling of 663922840 in words is "six hundred sixty-three million, nine hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 151 164 205 280 287 302 328 383 410 574 604 755 766 820 1057 1148 1208 1435 1510 1532 1640 1915 2114 2296 2681 2870 3020 3064 3830 4228 5285 5362 5740 6040 6191 7660 8456 10570 10724 11480 12382 13405 15320 15703 21140 21448 24764 26810 30955 31406 42280 43337 49528 53620 57833 61910 62812 78515 86674 107240 109921 115666 123820 125624 157030 173348 216685 219842 231332 247640 289165 314060 346696 404831 433370 439684 462664 549605 578330 628120 809662 866740 879368 1099210 1156660 1619324 1733480 2024155 2198420 2313320 2371153 3238648 4048310 4396840 4742306 8096620 9484612 11855765 16193240 16598071 18969224 23711530 33196142 47423060 66392284 82990355 94846120 132784568 165980710 331961420 663922840