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46856052 = 223219611123
BaseRepresentation
bin1011001010111…
…1011101110100
310021011112102100
42302233131310
543443343202
64352142100
71106161365
oct262573564
9107145370
1046856052
11244a3711
1213837930
139927399
146319b6c
1541a841c
hex2caf774

46856052 has 72 divisors (see below), whose sum is σ = 126832160. Its totient is φ = 14541120.

The previous prime is 46856041. The next prime is 46856057. The reversal of 46856052 is 25065864.

46856052 is a `hidden beast` number, since 46 + 8 + 5 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46855998 and 46856016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46856057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41163 + ... + 42285.

Almost surely, 246856052 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 46856052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63416080).

46856052 is an abundant number, since it is smaller than the sum of its proper divisors (79976108).

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

46856052 is a wasteful number, since it uses less digits than its factorization.

46856052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 46856052 is about 6845.1480626791. The cubic root of 46856052 is about 360.5138033718.

The spelling of 46856052 in words is "forty-six million, eight hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1123 1159 2196 2246 2318 3369 3477 4492 4636 6738 6954 10107 10431 13476 13908 20214 20862 21337 40428 41724 42674 64011 68503 85348 128022 137006 192033 205509 256044 274012 384066 411018 616527 768132 822036 1233054 1301557 2466108 2603114 3904671 5206228 7809342 11714013 15618684 23428026 46856052