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40945728 = 2631671277
BaseRepresentation
bin1001110000110…
…0100001000000
32212001020222110
42130030201000
540440230403
64021335320
71005014205
oct234144100
985036873
1040945728
112112714a
1211867540
138638155
14561bcac
1538dc103
hex270c840

40945728 has 56 divisors (see below), whose sum is σ = 109069632. Its totient is φ = 13556224.

The previous prime is 40945711. The next prime is 40945739. The reversal of 40945728 is 82754904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31426 + ... + 32702.

It is an arithmetic number, because the mean of its divisors is an integer number (1947672).

Almost surely, 240945728 is an apocalyptic number.

40945728 is a gapful number since it is divisible by the number (48) 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 40945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54534816).

40945728 is an abundant number, since it is smaller than the sum of its proper divisors (68123904).

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

40945728 is a wasteful number, since it uses less digits than its factorization.

40945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 40945728 is about 6398.8849028561. The cubic root of 40945728 is about 344.6695091761.

The spelling of 40945728 in words is "forty million, nine hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1277 1336 2004 2554 2672 3831 4008 5108 5344 7662 8016 10216 10688 15324 16032 20432 30648 32064 40864 61296 81728 122592 213259 245184 426518 639777 853036 1279554 1706072 2559108 3412144 5118216 6824288 10236432 13648576 20472864 40945728