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479990640 = 243537191283
BaseRepresentation
bin11100100111000…
…001001101110000
31020110012001101010
4130213001031300
51440334200030
6115343510520
714615565423
oct3447011560
91213161333
10479990640
11226a40088
121148b8440
137859a63c
1447a679ba
152c2146b0
hex1c9c1370

479990640 has 160 divisors (see below), whose sum is σ = 1541615616. Its totient is φ = 123448320.

The previous prime is 479990627. The next prime is 479990659. The reversal of 479990640 is 46099974.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479990640.

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, 1695939 + ... + 1696221.

Almost surely, 2479990640 is an apocalyptic number.

479990640 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 479990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770807808).

479990640 is an abundant number, since it is smaller than the sum of its proper divisors (1061624976).

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

479990640 is a wasteful number, since it uses less digits than its factorization.

479990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 479990640 is about 21908.6886873678. The cubic root of 479990640 is about 782.9684388728.

The spelling of 479990640 in words is "four hundred seventy-nine million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 191 222 240 283 296 370 382 444 555 566 573 592 740 764 849 888 955 1110 1132 1146 1415 1480 1528 1698 1776 1910 2220 2264 2292 2830 2865 2960 3056 3396 3820 4245 4440 4528 4584 5660 5730 6792 7067 7640 8490 8880 9168 10471 11320 11460 13584 14134 15280 16980 20942 21201 22640 22920 28268 31413 33960 35335 41884 42402 45840 52355 54053 56536 62826 67920 70670 83768 84804 104710 106005 108106 113072 125652 141340 157065 162159 167536 169608 209420 212010 216212 251304 270265 282680 314130 324318 339216 418840 424020 432424 502608 540530 565360 628260 648636 810795 837680 848040 864848 1081060 1256520 1297272 1621590 1696080 1999961 2162120 2513040 2594544 3243180 3999922 4324240 5999883 6486360 7999844 9999805 11999766 12972720 15999688 19999610 23999532 29999415 31999376 39999220 47999064 59998830 79998440 95998128 119997660 159996880 239995320 479990640