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505005520 = 2459376737
BaseRepresentation
bin11110000110011…
…100010111010000
31022012020221100011
4132012130113100
52013240134040
6122040004304
715341322205
oct3606342720
91265227304
10505005520
1123a076138
12121160694
1380818546
144b0d9cac
152e5063ea
hex1e19c5d0

505005520 has 40 divisors (see below), whose sum is σ = 1175565384. Its totient is φ = 201756672.

The previous prime is 505005517. The next prime is 505005521. The reversal of 505005520 is 25500505.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 503733136 = 1128^2 + 22444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 505005491 and 505005500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505005521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71592 + ... + 78328.

Almost surely, 2505005520 is an apocalyptic number.

It is an amenable number.

505005520 is an abundant number, since it is smaller than the sum of its proper divisors (670559864).

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

505005520 is a wasteful number, since it uses less digits than its factorization.

505005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 22.

The square root of 505005520 is about 22472.3278722966. The cubic root of 505005520 is about 796.3403256750.

The spelling of 505005520 in words is "five hundred five million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 937 1874 3748 4685 6737 7496 9370 13474 14992 18740 26948 33685 37480 53896 67370 74960 107792 134740 269480 538960 6312569 12625138 25250276 31562845 50500552 63125690 101001104 126251380 252502760 505005520