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49130664 = 233111491249
BaseRepresentation
bin1011101101101…
…0110010101000
310102110002121020
42323122302220
5100034140124
64513012440
71134414042
oct273326250
9112402536
1049130664
1125807660
1214554120
13a2427cb
14674ca92
1544a7379
hex2edaca8

49130664 has 64 divisors (see below), whose sum is σ = 135000000. Its totient is φ = 14776320.

The previous prime is 49130623. The next prime is 49130677. The reversal of 49130664 is 46603194.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 38712 + ... + 39960.

It is an arithmetic number, because the mean of its divisors is an integer number (2109375).

Almost surely, 249130664 is an apocalyptic number.

49130664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

49130664 is the 3747-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67500000).

49130664 is an abundant number, since it is smaller than the sum of its proper divisors (85869336).

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

49130664 is a wasteful number, since it uses less digits than its factorization.

49130664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49130664 is about 7009.3269291709. The cubic root of 49130664 is about 366.2555472918.

It can be divided in two parts, 49130 and 664, that added together give a palindrome (49794).

The spelling of 49130664 in words is "forty-nine million, one hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1249 1639 1788 2498 3278 3576 3747 4917 4996 6556 7494 9834 9992 13112 13739 14988 19668 27478 29976 39336 41217 54956 82434 109912 164868 186101 329736 372202 558303 744404 1116606 1488808 2047111 2233212 4094222 4466424 6141333 8188444 12282666 16376888 24565332 49130664