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40506496 = 272313759
BaseRepresentation
bin1001101010000…
…1010010000000
32211012221110121
42122201102000
540332201441
64004110024
71001204512
oct232412200
984187417
1040506496
1120957148
1211695314
138513254
145545bb2
153851dd1
hex26a1480

40506496 has 32 divisors (see below), whose sum is σ = 84211200. Its totient is φ = 19371264.

The previous prime is 40506467. The next prime is 40506497. The reversal of 40506496 is 69460504.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40506497) 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, 3936 + ... + 9823.

It is an arithmetic number, because the mean of its divisors is an integer number (2631600).

Almost surely, 240506496 is an apocalyptic number.

40506496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40506496 is an abundant number, since it is smaller than the sum of its proper divisors (43704704).

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

40506496 is a wasteful number, since it uses less digits than its factorization.

40506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 40506496 is about 6364.4713841764. The cubic root of 40506496 is about 343.4326324356.

The spelling of 40506496 in words is "forty million, five hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 13759 27518 55036 110072 220144 316457 440288 632914 880576 1265828 1761152 2531656 5063312 10126624 20253248 40506496