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506276136 = 23337513121
BaseRepresentation
bin11110001011010…
…010100100101000
31022021122111022000
4132023102210220
52014101314021
6122123131000
715355163502
oct3613224450
91267574260
10506276136
1123a863833
12121673a60
1380b719a2
144b34ad72
152e6a7b26
hex1e2d2928

506276136 has 64 divisors (see below), whose sum is σ = 1408646400. Its totient is φ = 168480000.

The previous prime is 506276107. The next prime is 506276137. The reversal of 506276136 is 631672605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 506276136.

It is not an unprimeable number, because it can be changed into a prime (506276137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160656 + ... + 163776.

It is an arithmetic number, because the mean of its divisors is an integer number (22010100).

Almost surely, 2506276136 is an apocalyptic number.

It is an amenable number.

506276136 is an abundant number, since it is smaller than the sum of its proper divisors (902370264).

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

506276136 is a wasteful number, since it uses less digits than its factorization.

506276136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 506276136 is about 22500.5807925040. The cubic root of 506276136 is about 797.0076420309.

The spelling of 506276136 in words is "five hundred six million, two hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 751 1502 2253 3004 3121 4506 6008 6242 6759 9012 9363 12484 13518 18024 18726 20277 24968 27036 28089 37452 40554 54072 56178 74904 81108 84267 112356 162216 168534 224712 337068 674136 2343871 4687742 7031613 9375484 14063226 18750968 21094839 28126452 42189678 56252904 63284517 84379356 126569034 168758712 253138068 506276136