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40795744 = 2511235039
BaseRepresentation
bin1001101110011…
…1111001100000
32211202122020111
42123213321200
540420430434
64014221104
71003521013
oct233477140
984678214
1040795744
11210344a0
12117b4794
1385b4ac2
1455bd37a
1538ac964
hex26e7e60

40795744 has 48 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 17733760.

The previous prime is 40795739. The next prime is 40795787. The reversal of 40795744 is 44759704.

It is a junction number, because it is equal to n+sod(n) for n = 40795697 and 40795706.

It is a congruent number.

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, 5577 + ... + 10615.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 240795744 is an apocalyptic number.

40795744 is a gapful number since it is divisible by the number (44) 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 40795744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

40795744 is an abundant number, since it is smaller than the sum of its proper divisors (50650016).

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

40795744 is a wasteful number, since it uses less digits than its factorization.

40795744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 40795744 is about 6387.1546090572. The cubic root of 40795744 is about 344.2481533770.

The spelling of 40795744 in words is "forty million, seven hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 5039 8096 10078 20156 40312 55429 80624 110858 115897 161248 221716 231794 443432 463588 886864 927176 1274867 1773728 1854352 2549734 3708704 5099468 10198936 20397872 40795744