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40465248 = 2531273319
BaseRepresentation
bin1001101001011…
…1001101100000
32211010211212220
42122113031200
540324341443
64003151040
71000643325
oct232271540
984124786
1040465248
112092915a
1211675480
1384ca545
145534b4c
153844a83
hex2697360

40465248 has 48 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 13378176.

The previous prime is 40465223. The next prime is 40465259. The reversal of 40465248 is 84256404.

It is a tau number, because it is divible by the number of its divisors (48).

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, 10533 + ... + 13851.

It is an arithmetic number, because the mean of its divisors is an integer number (2231040).

Almost surely, 240465248 is an apocalyptic number.

40465248 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 40465248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

40465248 is an abundant number, since it is smaller than the sum of its proper divisors (66624672).

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

40465248 is a wasteful number, since it uses less digits than its factorization.

40465248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 40465248 is about 6361.2300697271. The cubic root of 40465248 is about 343.3160196965.

The spelling of 40465248 in words is "forty million, four hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3319 4064 6096 6638 9957 12192 13276 19914 26552 39828 53104 79656 106208 159312 318624 421513 843026 1264539 1686052 2529078 3372104 5058156 6744208 10116312 13488416 20232624 40465248