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495477630 = 232519833491
BaseRepresentation
bin11101100010000…
…110001101111110
31021112022212112100
4131202012031332
52003320241010
6121055445530
715164330124
oct3542061576
91245285470
10495477630
1123475874a
12119b268a6
137b86083b
1449b39914
152d7732c0
hex1d88637e

495477630 has 96 divisors (see below), whose sum is σ = 1372775040. Its totient is φ = 123629760.

The previous prime is 495477629. The next prime is 495477637. The reversal of 495477630 is 36774594.

495477630 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 7 + 7 + 630 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495477637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140185 + ... + 143675.

It is an arithmetic number, because the mean of its divisors is an integer number (14299740).

Almost surely, 2495477630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495477630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686387520).

495477630 is an abundant number, since it is smaller than the sum of its proper divisors (877297410).

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

495477630 is a wasteful number, since it uses less digits than its factorization.

495477630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 495477630 is about 22259.3268092276. The cubic root of 495477630 is about 791.3003367122.

The spelling of 495477630 in words is "four hundred ninety-five million, four hundred seventy-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 83 90 95 114 166 171 190 249 285 342 415 498 570 747 830 855 1245 1494 1577 1710 2490 3154 3491 3735 4731 6982 7470 7885 9462 10473 14193 15770 17455 20946 23655 28386 31419 34910 47310 52365 62838 66329 70965 104730 132658 141930 157095 198987 289753 314190 331645 397974 579506 596961 663290 869259 994935 1193922 1448765 1738518 1989870 2607777 2897530 2984805 4346295 5215554 5505307 5969610 8692590 11010614 13038885 16515921 26077770 27526535 33031842 49547763 55053070 82579605 99095526 165159210 247738815 495477630