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45991232 = 267251409
BaseRepresentation
bin1010111101110…
…0010101000000
310012112121002222
42233130111000
543233204412
64321430212
71065630140
oct257342500
9105477088
1045991232
1123a62991
121349b368
1396b3861
146172920
154087072
hex2bdc540

45991232 has 56 divisors (see below), whose sum is σ = 104973120. Its totient is φ = 19584000.

The previous prime is 45991223. The next prime is 45991243. The reversal of 45991232 is 23219954.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×459912323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45991192 and 45991201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112244 + ... + 112652.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 245991232 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 45991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486560).

45991232 is an abundant number, since it is smaller than the sum of its proper divisors (58981888).

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

45991232 is a wasteful number, since it uses less digits than its factorization.

45991232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 45991232 is about 6781.6835667849. The cubic root of 45991232 is about 358.2820203190.

The spelling of 45991232 in words is "forty-five million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 409 448 502 818 1004 1636 1757 2008 2863 3272 3514 4016 5726 6544 7028 8032 11452 13088 14056 16064 22904 26176 28112 45808 56224 91616 102659 112448 183232 205318 410636 718613 821272 1437226 1642544 2874452 3285088 5748904 6570176 11497808 22995616 45991232