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46385136 = 243475113
BaseRepresentation
bin1011000011110…
…0011111110000
310020021121110000
42300330133300
543333311021
64334110000
71102160430
oct260743760
9106247400
1046385136
1124201926
121364b300
1397c0c35
1462362c0
154113b26
hex2c3c7f0

46385136 has 100 divisors (see below), whose sum is σ = 153460912. Its totient is φ = 13250304.

The previous prime is 46385117. The next prime is 46385153. The reversal of 46385136 is 63158364.

46385136 is a `hidden beast` number, since 4 + 638 + 5 + 13 + 6 = 666.

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 46385136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6516 + ... + 11628.

Almost surely, 246385136 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 46385136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76730456).

46385136 is an abundant number, since it is smaller than the sum of its proper divisors (107075776).

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

46385136 is a wasteful number, since it uses less digits than its factorization.

46385136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5125 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 46385136 is about 6810.6634038102. The cubic root of 46385136 is about 359.3019807891.

The spelling of 46385136 in words is "forty-six million, three hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5113 9072 10226 15339 20452 30678 35791 40904 46017 61356 71582 81808 92034 107373 122712 138051 143164 184068 214746 245424 276102 286328 322119 368136 414153 429492 552204 572656 644238 736272 828306 858984 966357 1104408 1288476 1656612 1717968 1932714 2208816 2576952 2899071 3313224 3865428 5153904 5798142 6626448 7730856 11596284 15461712 23192568 46385136