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505996470 = 23557151197
BaseRepresentation
bin11110001010001…
…110010010110110
31022021010021200000
4132022032102312
52014013341340
6122113132130
715352620240
oct3612162266
91267107600
10505996470
1123a692701
1212155a046
1380aa45c5
144b2b7090
152e64ed30
hex1e28e4b6

505996470 has 192 divisors, whose sum is σ = 1577511936. Its totient is φ = 114307200.

The previous prime is 505996451. The next prime is 505996489. The reversal of 505996470 is 74699505.

It is a happy number.

505996470 is a `hidden beast` number, since 50 + 599 + 6 + 4 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (505996451) and next prime (505996489).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2568412 + ... + 2568608.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2505996470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505996470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788755968).

505996470 is an abundant number, since it is smaller than the sum of its proper divisors (1071515466).

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

505996470 is a wasteful number, since it uses less digits than its factorization.

505996470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 505996470 is about 22494.3652944465. The cubic root of 505996470 is about 796.8608598183.

The spelling of 505996470 in words is "five hundred five million, nine hundred ninety-six thousand, four hundred seventy".