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40023872 = 267412179
BaseRepresentation
bin1001100010101…
…1011101000000
32210022102102122
42120223131000
540221230442
63545503412
7664124450
oct230533500
983272378
1040023872
1120657589
12114a1b68
1383a4685
14545bd60
1537a8dd2
hex262b740

40023872 has 56 divisors (see below), whose sum is σ = 93024960. Its totient is φ = 16727040.

The previous prime is 40023871. The next prime is 40023901. The reversal of 40023872 is 27832004.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17279 + ... + 19457.

It is an arithmetic number, because the mean of its divisors is an integer number (1661160).

Almost surely, 240023872 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 40023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512480).

40023872 is an abundant number, since it is smaller than the sum of its proper divisors (53001088).

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

40023872 is a wasteful number, since it uses less digits than its factorization.

40023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 40023872 is about 6326.4422861510. The cubic root of 40023872 is about 342.0632100485.

Adding to 40023872 its reverse (27832004), we get a palindrome (67855876).

The spelling of 40023872 in words is "forty million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2179 2296 2624 4358 4592 8716 9184 15253 17432 18368 30506 34864 61012 69728 89339 122024 139456 178678 244048 357356 488096 625373 714712 976192 1250746 1429424 2501492 2858848 5002984 5717696 10005968 20011936 40023872