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40000064 = 2613131367
BaseRepresentation
bin1001100010010…
…1101001000000
32210021012202212
42120211221000
540220000224
63545201252
7663665156
oct230455100
983235685
1040000064
1120640705
1211490228
1383968a0
1454533d6
1537a1d0e
hex2625a40

40000064 has 56 divisors (see below), whose sum is σ = 86368128. Its totient is φ = 18270720.

The previous prime is 40000061. The next prime is 40000123. The reversal of 40000064 is 46000004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108809 + ... + 109175.

It is an arithmetic number, because the mean of its divisors is an integer number (1542288).

Almost surely, 240000064 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 40000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43184064).

40000064 is an abundant number, since it is smaller than the sum of its proper divisors (46368064).

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

40000064 is a wasteful number, since it uses less digits than its factorization.

40000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40000064 is about 6324.5603799790. The cubic root of 40000064 is about 341.9953717327.

Adding to 40000064 its reverse (46000004), we get a palindrome (86000068).

The spelling of 40000064 in words is "forty million, sixty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 208 262 367 416 524 734 832 1048 1468 1703 2096 2936 3406 4192 4771 5872 6812 8384 9542 11744 13624 19084 23488 27248 38168 48077 54496 76336 96154 108992 152672 192308 305344 384616 625001 769232 1250002 1538464 2500004 3076928 5000008 10000016 20000032 40000064