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49362066 = 232131931093
BaseRepresentation
bin1011110001001…
…1010010010010
310102212212000200
42330103102102
5100114041231
64522000030
71136366505
oct274232222
9112785020
1049362066
11259554a6
1214646016
13a2c3c30
1467ad13c
154500be6
hex2f13492

49362066 has 48 divisors (see below), whose sum is σ = 115880856. Its totient is φ = 15095808.

The previous prime is 49362043. The next prime is 49362077. The reversal of 49362066 is 66026394.

It can be written as a sum of positive squares in 4 ways, for example, as 42185025 + 7177041 = 6495^2 + 2679^2 .

It is a super-2 number, since 2×493620662 = 4873227119576712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49362066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44616 + ... + 45708.

Almost surely, 249362066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49362066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57940428).

49362066 is an abundant number, since it is smaller than the sum of its proper divisors (66518790).

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

49362066 is a wasteful number, since it uses less digits than its factorization.

49362066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 49362066 is about 7025.8142588600. The cubic root of 49362066 is about 366.8296595824.

The spelling of 49362066 in words is "forty-nine million, three hundred sixty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 234 386 579 1093 1158 1737 2186 2509 3279 3474 5018 6558 7527 9837 14209 15054 19674 22581 28418 42627 45162 85254 127881 210949 255762 421898 632847 1265694 1898541 2742337 3797082 5484674 8227011 16454022 24681033 49362066