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40016424 = 2337313761
BaseRepresentation
bin1001100010100…
…1101000101000
32210022001012210
42120221220220
540221011144
63545405120
7664063650
oct230515050
983261183
1040016424
1120651a28
12114997a0
1383a1176
145459360
1537a6ab9
hex2629a28

40016424 has 64 divisors (see below), whose sum is σ = 114848640. Its totient is φ = 11381760.

The previous prime is 40016393. The next prime is 40016429. The reversal of 40016424 is 42461004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40016424.

It is not an unprimeable number, because it can be changed into a prime (40016429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52204 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (1794510).

Almost surely, 240016424 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 40016424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424320).

40016424 is an abundant number, since it is smaller than the sum of its proper divisors (74832216).

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

40016424 is a wasteful number, since it uses less digits than its factorization.

40016424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40016424 is about 6325.8536182874. The cubic root of 40016424 is about 342.0419906720.

Adding to 40016424 its reverse (42461004), we get a palindrome (82477428).

The spelling of 40016424 in words is "forty million, sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 761 939 1252 1522 1878 2191 2283 2504 3044 3756 4382 4566 5327 6088 6573 7512 8764 9132 10654 13146 15981 17528 18264 21308 26292 31962 42616 52584 63924 127848 238193 476386 714579 952772 1429158 1667351 1905544 2858316 3334702 5002053 5716632 6669404 10004106 13338808 20008212 40016424