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40372704 = 25321031361
BaseRepresentation
bin1001101000000…
…0100111100000
32210222010221100
42122000213200
540313411304
64001154400
71000106451
oct232004740
983863840
1040372704
1120875679
121162ba00
138497398
14550d128
153827439
hex26809e0

40372704 has 72 divisors (see below), whose sum is σ = 116009712. Its totient is φ = 13317120.

The previous prime is 40372699. The next prime is 40372711. The reversal of 40372704 is 40727304.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28984 + ... + 30344.

It is an arithmetic number, because the mean of its divisors is an integer number (1611246).

Almost surely, 240372704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58004856).

40372704 is an abundant number, since it is smaller than the sum of its proper divisors (75637008).

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

40372704 is a wasteful number, since it uses less digits than its factorization.

40372704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40372704 is about 6353.9518411773. The cubic root of 40372704 is about 343.0540987409.

The spelling of 40372704 in words is "forty million, three hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1361 1648 1854 2472 2722 3296 3708 4083 4944 5444 7416 8166 9888 10888 12249 14832 16332 21776 24498 29664 32664 43552 48996 65328 97992 130656 140183 195984 280366 391968 420549 560732 841098 1121464 1261647 1682196 2242928 2523294 3364392 4485856 5046588 6728784 10093176 13457568 20186352 40372704