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40474944 = 263359397
BaseRepresentation
bin1001101001100…
…1100101000000
32211011100012000
42122121211000
540330144234
64003304000
71001013516
oct232314500
984140160
1040474944
1120935474
121167b000
138501a93
1455384b6
153847899
hex2699940

40474944 has 112 divisors (see below), whose sum is σ = 121310400. Its totient is φ = 13229568.

The previous prime is 40474897. The next prime is 40474957. The reversal of 40474944 is 44947404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40474899 and 40474908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101754 + ... + 102150.

Almost surely, 240474944 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 40474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60655200).

40474944 is an abundant number, since it is smaller than the sum of its proper divisors (80835456).

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

40474944 is a wasteful number, since it uses less digits than its factorization.

40474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40474944 is about 6361.9921408314. The cubic root of 40474944 is about 343.3434385019.

The spelling of 40474944 in words is "forty million, four hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 397 432 472 531 576 708 794 864 944 1062 1191 1416 1588 1593 1728 1888 2124 2382 2832 3176 3186 3573 3776 4248 4764 5664 6352 6372 7146 8496 9528 10719 11328 12704 12744 14292 16992 19056 21438 23423 25408 25488 28584 33984 38112 42876 46846 50976 57168 70269 76224 85752 93692 101952 114336 140538 171504 187384 210807 228672 281076 343008 374768 421614 562152 632421 686016 749536 843228 1124304 1264842 1499072 1686456 2248608 2529684 3372912 4497216 5059368 6745824 10118736 13491648 20237472 40474944