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40233984 = 210371871
BaseRepresentation
bin1001100101111…
…0110000000000
32210201002122120
42121132300000
540244441414
63554204240
7665661150
oct231366000
983632576
1040233984
112079042a
1211583680
1384491bb
1454b4760
1537eb2a9
hex265ec00

40233984 has 88 divisors (see below), whose sum is σ = 122623488. Its totient is φ = 11489280.

The previous prime is 40233983. The next prime is 40234027. The reversal of 40233984 is 48933204.

It is not an unprimeable number, because it can be changed into a prime (40233983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20569 + ... + 22439.

Almost surely, 240233984 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 40233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61311744).

40233984 is an abundant number, since it is smaller than the sum of its proper divisors (82389504).

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

40233984 is a wasteful number, since it uses less digits than its factorization.

40233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 40233984 is about 6343.0264070079. The cubic root of 40233984 is about 342.6607383055.

The spelling of 40233984 in words is "forty million, two hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1871 2688 3072 3584 3742 5376 5613 7168 7484 10752 11226 13097 14968 21504 22452 26194 29936 39291 44904 52388 59872 78582 89808 104776 119744 157164 179616 209552 239488 314328 359232 419104 478976 628656 718464 838208 957952 1257312 1436928 1676416 1915904 2514624 2873856 3352832 5029248 5747712 6705664 10058496 13411328 20116992 40233984