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40146732 = 22331272927
BaseRepresentation
bin1001100100100…
…1011100101100
32210112122222000
42121021130230
540234143412
63552252300
7665145603
oct231113454
983478860
1040146732
112073091a
1211541090
138418582
145490a3a
1537d04dc
hex264972c

40146732 has 48 divisors (see below), whose sum is σ = 104939520. Its totient is φ = 13272336.

The previous prime is 40146731. The next prime is 40146761. The reversal of 40146732 is 23764104.

It is a super-2 number, since 2×401467322 = 3223520180559648, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40146696 and 40146705.

It is not an unprimeable number, because it can be changed into a prime (40146731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12253 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (2186240).

Almost surely, 240146732 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 40146732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469760).

40146732 is an abundant number, since it is smaller than the sum of its proper divisors (64792788).

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

40146732 is a wasteful number, since it uses less digits than its factorization.

40146732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40146732 is about 6336.1448847071. The cubic root of 40146732 is about 342.4128593556.

The spelling of 40146732 in words is "forty million, one hundred forty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 2927 3429 4572 5854 6858 8781 11708 13716 17562 26343 35124 52686 79029 105372 158058 316116 371729 743458 1115187 1486916 2230374 3345561 4460748 6691122 10036683 13382244 20073366 40146732