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46053414 = 23311314161
BaseRepresentation
bin1010111110101…
…1100000100110
310012122202102000
42233223200212
543242202124
64323030130
71066306341
oct257534046
9105582360
1046053414
1123aa5680
121350b346
139705c54
14618b458
15409a6c9
hex2beb826

46053414 has 128 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 12960000.

The previous prime is 46053407. The next prime is 46053431. The reversal of 46053414 is 41435064.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754944 + ... + 755004.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 246053414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46053414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

46053414 is an abundant number, since it is smaller than the sum of its proper divisors (73938906).

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

46053414 is a wasteful number, since it uses less digits than its factorization.

46053414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46053414 is about 6786.2665730135. The cubic root of 46053414 is about 358.4434181811.

Adding to 46053414 its reverse (41435064), we get a palindrome (87488478).

The spelling of 46053414 in words is "forty-six million, fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 41 54 61 62 66 82 93 99 122 123 183 186 198 246 279 297 341 366 369 451 549 558 594 671 682 738 837 902 1023 1098 1107 1271 1342 1353 1647 1674 1891 2013 2046 2214 2501 2542 2706 3069 3294 3782 3813 4026 4059 5002 5673 6039 6138 7503 7626 8118 9207 11346 11439 12078 12177 13981 15006 17019 18117 18414 20801 22509 22878 24354 27511 27962 34038 34317 36234 41602 41943 45018 51057 55022 62403 67527 68634 77531 82533 83886 102114 124806 125829 135054 155062 165066 187209 232593 247599 251658 374418 377487 465186 495198 561627 697779 742797 754974 852841 1123254 1395558 1485594 1705682 2093337 2558523 4186674 5117046 7675569 15351138 23026707 46053414