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40144384 = 29723487
BaseRepresentation
bin1001100100100…
…0111000000000
32210112112202001
42121020320000
540234110014
63552233344
7665136010
oct231107000
983475661
1040144384
112072a085
121153b854
138417497
14548dc40
1537ce974
hex2648e00

40144384 has 80 divisors (see below), whose sum is σ = 95851008. Its totient is φ = 16422912.

The previous prime is 40144339. The next prime is 40144417. The reversal of 40144384 is 48344104.

It is a super-2 number, since 2×401443842 = 3223143133478912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 82189 + ... + 82675.

Almost surely, 240144384 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 40144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47925504).

40144384 is an abundant number, since it is smaller than the sum of its proper divisors (55706624).

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

40144384 is an equidigital number, since it uses as much as digits as its factorization.

40144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 40144384 is about 6335.9595958308. The cubic root of 40144384 is about 342.4061838345.

Adding to 40144384 its reverse (48344104), we get a palindrome (88488488).

The spelling of 40144384 in words is "forty million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 487 512 644 736 896 974 1288 1472 1792 1948 2576 2944 3409 3584 3896 5152 5888 6818 7792 10304 11201 11776 13636 15584 20608 22402 27272 31168 41216 44804 54544 62336 78407 82432 89608 109088 124672 156814 179216 218176 249344 313628 358432 436352 627256 716864 872704 1254512 1433728 1745408 2509024 2867456 5018048 5734912 10036096 20072192 40144384