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40608064 = 267223563
BaseRepresentation
bin1001101011101…
…0000101000000
32211102002210101
42122322011000
540343424224
64010212144
71002106600
oct232720500
984362711
1040608064
1120a16492
1211724054
13854a553
145570c00
153872044
hex26ba140

40608064 has 84 divisors (see below), whose sum is σ = 97987104. Its totient is φ = 16617216.

The previous prime is 40608049. The next prime is 40608083. The reversal of 40608064 is 46080604.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71847 + ... + 72409.

Almost surely, 240608064 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 40608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48993552).

40608064 is an abundant number, since it is smaller than the sum of its proper divisors (57379040).

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

40608064 is a wasteful number, since it uses less digits than its factorization.

40608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 40608064 is about 6372.4456843507. The cubic root of 40608064 is about 343.7194395311.

Adding to 40608064 its reverse (46080604), we get a palindrome (86688668).

The spelling of 40608064 in words is "forty million, six hundred eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 448 563 644 736 784 1126 1127 1288 1472 1568 2252 2254 2576 3136 3941 4504 4508 5152 7882 9008 9016 10304 12949 15764 18016 18032 25898 27587 31528 36032 36064 51796 55174 63056 72128 90643 103592 110348 126112 181286 207184 220696 252224 362572 414368 441392 634501 725144 828736 882784 1269002 1450288 1765568 2538004 2900576 5076008 5801152 10152016 20304032 40608064