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46127136 = 253113192
BaseRepresentation
bin1010111111110…
…1100000100000
310012210111112110
42233331200200
543302032021
64324355320
71100034306
oct257754040
9105714473
1046127136
1124046000
1213545b40
139730683
1461aa276
1540b2476
hex2bfd820

46127136 has 144 divisors (see below), whose sum is σ = 140561568. Its totient is φ = 13242240.

The previous prime is 46127083. The next prime is 46127141. The reversal of 46127136 is 63172164.

46127136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6048) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2427735 + ... + 2427753.

It is an arithmetic number, because the mean of its divisors is an integer number (976122).

Almost surely, 246127136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70280784).

46127136 is an abundant number, since it is smaller than the sum of its proper divisors (94434432).

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

46127136 is a wasteful number, since it uses less digits than its factorization.

46127136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 46127136 is about 6791.6961062757. The cubic root of 46127136 is about 358.6345808297.

The spelling of 46127136 in words is "forty-six million, one hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 361 363 418 456 484 528 608 627 722 726 836 912 968 1056 1083 1254 1331 1444 1452 1672 1824 1936 2166 2299 2508 2662 2888 2904 3344 3872 3971 3993 4332 4598 5016 5324 5776 5808 6688 6897 7942 7986 8664 9196 10032 10648 11552 11616 11913 13794 15884 15972 17328 18392 20064 21296 23826 25289 27588 31768 31944 34656 36784 42592 43681 47652 50578 55176 63536 63888 73568 75867 87362 95304 101156 110352 127072 127776 131043 151734 174724 190608 202312 220704 262086 303468 349448 381216 404624 480491 524172 606936 698896 809248 960982 1048344 1213872 1397792 1441473 1921964 2096688 2427744 2882946 3843928 4193376 5765892 7687856 11531784 15375712 23063568 46127136