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40426464 = 25313291117
BaseRepresentation
bin1001101000110…
…1101111100000
32211001212200110
42122031233200
540322121324
64002251320
71000422261
oct232155740
984055613
1040426464
1120902001
1211656b40
1384b59b0
145524968
153838329
hex268dbe0

40426464 has 96 divisors (see below), whose sum is σ = 118329120. Its totient is φ = 11999232.

The previous prime is 40426453. The next prime is 40426481. The reversal of 40426464 is 46462404.

40426464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35634 + ... + 36750.

It is an arithmetic number, because the mean of its divisors is an integer number (1232595).

Almost surely, 240426464 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 40426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59164560).

40426464 is an abundant number, since it is smaller than the sum of its proper divisors (77902656).

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

40426464 is a wasteful number, since it uses less digits than its factorization.

40426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 40426464 is about 6358.1808719161. The cubic root of 40426464 is about 343.2063006543.

Adding to 40426464 its reverse (46462404), we get a palindrome (86888868).

The spelling of 40426464 in words is "forty million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1117 1131 1248 1392 1508 2234 2262 2784 3016 3351 4468 4524 6032 6702 8936 9048 12064 13404 14521 17872 18096 26808 29042 32393 35744 36192 43563 53616 58084 64786 87126 97179 107232 116168 129572 174252 194358 232336 259144 348504 388716 421109 464672 518288 697008 777432 842218 1036576 1263327 1394016 1554864 1684436 2526654 3109728 3368872 5053308 6737744 10106616 13475488 20213232 40426464