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505423520 = 2557835437
BaseRepresentation
bin11110001000000…
…010011010100000
31022020001011201122
4132020002122200
52013342023040
6122052551412
715345012650
oct3610023240
91266034648
10505423520
1123a331198
12121322568
1380933894
144b1a8360
152e58a1b5
hex1e2026a0

505423520 has 96 divisors (see below), whose sum is σ = 1381339008. Its totient is φ = 171168768.

The previous prime is 505423519. The next prime is 505423553. The reversal of 505423520 is 25324505.

It is a self number, because there is not a number n which added to its sum of digits gives 505423520.

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, 90242 + ... + 95678.

It is an arithmetic number, because the mean of its divisors is an integer number (14388948).

Almost surely, 2505423520 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 505423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690669504).

505423520 is an abundant number, since it is smaller than the sum of its proper divisors (875915488).

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

505423520 is a wasteful number, since it uses less digits than its factorization.

505423520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 505423520 is about 22481.6262756946. The cubic root of 505423520 is about 796.5599790218.

The spelling of 505423520 in words is "five hundred five million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2656 2905 3320 4648 5437 5810 6640 9296 10874 11620 13280 18592 21748 23240 27185 38059 43496 46480 54370 76118 86992 92960 108740 152236 173984 190295 217480 304472 380590 434960 451271 608944 761180 869920 902542 1217888 1522360 1805084 2256355 3044720 3158897 3610168 4512710 6089440 6317794 7220336 9025420 12635588 14440672 15794485 18050840 25271176 31588970 36101680 50542352 63177940 72203360 101084704 126355880 252711760 505423520