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40694016 = 283114817
BaseRepresentation
bin1001101100111…
…1000100000000
32211120110200210
42123033010000
540404202031
64012114120
71002615306
oct233170400
984513623
1040694016
1120a75020
1211765940
13857a6cc
145594276
15388c746
hex26cf100

40694016 has 72 divisors (see below), whose sum is σ = 118175904. Its totient is φ = 12328960.

The previous prime is 40694009. The next prime is 40694021. The reversal of 40694016 is 61049604.

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, 6040 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (1641332).

Almost surely, 240694016 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 40694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59087952).

40694016 is an abundant number, since it is smaller than the sum of its proper divisors (77481888).

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

40694016 is a wasteful number, since it uses less digits than its factorization.

40694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40694016 is about 6379.1861549887. The cubic root of 40694016 is about 343.9617768960.

The spelling of 40694016 in words is "forty million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 4817 8448 9634 14451 19268 28902 38536 52987 57804 77072 105974 115608 154144 158961 211948 231216 308288 317922 423896 462432 616576 635844 847792 924864 1233152 1271688 1695584 1849728 2543376 3391168 3699456 5086752 6782336 10173504 13564672 20347008 40694016