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40061952 = 21035723
BaseRepresentation
bin1001100011010…
…0110000000000
32210101100200000
42120310300000
540223440302
63550400000
7664343460
oct230646000
983340600
1040061952
1120683157
1211500000
1383b8ac8
14546bba0
1537b531c
hex2634c00

40061952 has 264 divisors, whose sum is σ = 143060736. Its totient is φ = 10948608.

The previous prime is 40061941. The next prime is 40061971. The reversal of 40061952 is 25916004.

40061952 is a `hidden beast` number, since 40 + 0 + 619 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741813 + ... + 1741835.

Almost surely, 240061952 is an apocalyptic number.

40061952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71530368).

40061952 is an abundant number, since it is smaller than the sum of its proper divisors (102998784).

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

40061952 is an equidigital number, since it uses as much as digits as its factorization.

40061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40061952 is about 6329.4511610407. The cubic root of 40061952 is about 342.1716589777.

Adding to 40061952 its reverse (25916004), we get a palindrome (65977956).

The spelling of 40061952 in words is "forty million, sixty-one thousand, nine hundred fifty-two".