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40705248 = 2531672539
BaseRepresentation
bin1001101101000…
…1110011100000
32211121001002210
42123101303200
540410031443
64012242120
71002663123
oct233216340
984531083
1040705248
1120a82501
1211770340
13858285c
1455983ba
153890c33
hex26d1ce0

40705248 has 48 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 13481856.

The previous prime is 40705229. The next prime is 40705283. The reversal of 40705248 is 84250704.

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, 14763 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 240705248 is an apocalyptic number.

40705248 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 40705248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

40705248 is an abundant number, since it is smaller than the sum of its proper divisors (66828192).

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

40705248 is a wasteful number, since it uses less digits than its factorization.

40705248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 40705248 is about 6380.0664573341. The cubic root of 40705248 is about 343.9934197407.

The spelling of 40705248 in words is "forty million, seven hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2539 2672 4008 5078 5344 7617 8016 10156 15234 16032 20312 30468 40624 60936 81248 121872 243744 424013 848026 1272039 1696052 2544078 3392104 5088156 6784208 10176312 13568416 20352624 40705248