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40678400 = 210527227
BaseRepresentation
bin1001101100101…
…1010000000000
32211112200021102
42123023100000
540403202100
64011513532
71002521630
oct233132000
984480242
1040678400
1120a64314
12117588a8
138573579
14558c6c0
153887cd5
hex26cb400

40678400 has 132 divisors (see below), whose sum is σ = 115745568. Its totient is φ = 13885440.

The previous prime is 40678397. The next prime is 40678409. The reversal of 40678400 is 487604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40678409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179087 + ... + 179313.

Almost surely, 240678400 is an apocalyptic number.

40678400 is a gapful number since it is divisible by the number (40) 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 40678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57872784).

40678400 is an abundant number, since it is smaller than the sum of its proper divisors (75067168).

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

40678400 is a wasteful number, since it uses less digits than its factorization.

40678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 40678400 is about 6377.9620569583. The cubic root of 40678400 is about 343.9177737489.

The spelling of 40678400 in words is "forty million, six hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 227 256 280 320 350 400 448 454 512 560 640 700 800 896 908 1024 1120 1135 1280 1400 1589 1600 1792 1816 2240 2270 2560 2800 3178 3200 3584 3632 4480 4540 5120 5600 5675 6356 6400 7168 7264 7945 8960 9080 11200 11350 12712 12800 14528 15890 17920 18160 22400 22700 25424 25600 29056 31780 35840 36320 39725 44800 45400 50848 58112 63560 72640 79450 89600 90800 101696 116224 127120 145280 158900 179200 181600 203392 232448 254240 290560 317800 363200 406784 508480 581120 635600 726400 813568 1016960 1162240 1271200 1452800 1627136 2033920 2542400 2905600 4067840 5084800 5811200 8135680 10169600 20339200 40678400