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40012272 = 2433234027
BaseRepresentation
bin1001100010100…
…0100111110000
32210021211112000
42120220213300
540220343042
63545334000
7664045566
oct230504760
983254460
1040012272
11206498a3
1211497300
13839c301
145457a36
1537a574c
hex26289f0

40012272 has 80 divisors (see below), whose sum is σ = 119873280. Its totient is φ = 12754368.

The previous prime is 40012267. The next prime is 40012277. The reversal of 40012272 is 27221004.

It is an interprime number because it is at equal distance from previous prime (40012267) and next prime (40012277).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40012277) 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 15 ways as a sum of consecutive naturals, for example, 7923 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (1498416).

Almost surely, 240012272 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 40012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59936640).

40012272 is an abundant number, since it is smaller than the sum of its proper divisors (79861008).

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

40012272 is a wasteful number, since it uses less digits than its factorization.

40012272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40012272 is about 6325.5254327210. The cubic root of 40012272 is about 342.0301604672.

Adding to 40012272 its reverse (27221004), we get a palindrome (67233276).

The spelling of 40012272 in words is "forty million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4027 4968 8054 9936 12081 16108 24162 32216 36243 48324 64432 72486 92621 96648 108729 144972 185242 193296 217458 277863 289944 370484 434916 555726 579888 740968 833589 869832 1111452 1481936 1667178 1739664 2222904 2500767 3334356 4445808 5001534 6668712 10003068 13337424 20006136 40012272