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46025928 = 23331337443
BaseRepresentation
bin1010111110010…
…0110011001000
310012121100201000
42233210303020
543240312203
64322255000
71066133244
oct257446310
9105540630
1046025928
1123a86a63
12134b7460
1396c65a0
146181424
1540924a3
hex2be4cc8

46025928 has 128 divisors (see below), whose sum is σ = 141724800. Its totient is φ = 13747968.

The previous prime is 46025927. The next prime is 46025957. The reversal of 46025928 is 82952064.

It is a happy number.

46025928 is a `hidden beast` number, since 4 + 60 + 2 + 592 + 8 = 666.

46025928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460259282 = 4236772096522368, which contains 22 as substring.

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 = 46025892 and 46025901.

It is not an unprimeable number, because it can be changed into a prime (46025927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103675 + ... + 104117.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 246025928 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 46025928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70862400).

46025928 is an abundant number, since it is smaller than the sum of its proper divisors (95698872).

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

46025928 is a wasteful number, since it uses less digits than its factorization.

46025928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46025928 is about 6784.2411513743. The cubic root of 46025928 is about 358.3720942146.

The spelling of 46025928 in words is "forty-six million, twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 216 222 234 296 312 333 351 443 444 468 481 666 702 886 888 936 962 999 1329 1332 1404 1443 1772 1924 1998 2658 2664 2808 2886 3544 3848 3987 3996 4329 5316 5759 5772 7974 7992 8658 10632 11518 11544 11961 12987 15948 16391 17277 17316 23036 23922 25974 31896 32782 34554 34632 46072 47844 49173 51831 51948 65564 69108 95688 98346 103662 103896 131128 138216 147519 155493 196692 207324 213083 295038 310986 393384 414648 426166 442557 590076 621972 639249 852332 885114 1180152 1243944 1278498 1704664 1770228 1917747 2556996 3540456 3835494 5113992 5753241 7670988 11506482 15341976 23012964 46025928