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40401664 = 28971627
BaseRepresentation
bin1001101000011…
…1101100000000
32211000121122221
42122013230000
540320323124
64001540424
71000260052
oct232075400
984017587
1040401664
1120895406
1211644714
1384a7614
1455198d2
153830ce4
hex2687b00

40401664 has 36 divisors (see below), whose sum is σ = 81526984. Its totient is φ = 19980288.

The previous prime is 40401659. The next prime is 40401667. The reversal of 40401664 is 46610404.

It is not an unprimeable number, because it can be changed into a prime (40401667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24019 + ... + 25645.

Almost surely, 240401664 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 40401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40763492).

40401664 is an abundant number, since it is smaller than the sum of its proper divisors (41125320).

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

40401664 is an equidigital number, since it uses as much as digits as its factorization.

40401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40401664 is about 6356.2303293698. The cubic root of 40401664 is about 343.1361052385.

The spelling of 40401664 in words is "forty million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 1627 3104 3254 6208 6508 12416 13016 24832 26032 52064 104128 157819 208256 315638 416512 631276 1262552 2525104 5050208 10100416 20200832 40401664