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40154072 = 2375383163
BaseRepresentation
bin1001100100101…
…1001111011000
32210120001000212
42121023033120
540234412242
63552350252
7665206160
oct231131730
983501025
1040154072
1120736392
1211545388
13841ba0a
1454935a0
1537d2782
hex264b3d8

40154072 has 64 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 16578432.

The previous prime is 40154069. The next prime is 40154077. The reversal of 40154072 is 27045104.

40154072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401540722 = 3224698996362368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40154077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246263 + ... + 246425.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 240154072 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 40154072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

40154072 is an abundant number, since it is smaller than the sum of its proper divisors (49114408).

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

40154072 is a wasteful number, since it uses less digits than its factorization.

40154072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 40154072 is about 6336.7240747882. The cubic root of 40154072 is about 342.4337257882.

Adding to 40154072 its reverse (27045104), we get a palindrome (67199176).

The spelling of 40154072 in words is "forty million, one hundred fifty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 83 106 163 166 212 326 332 371 424 581 652 664 742 1141 1162 1304 1484 2282 2324 2968 4399 4564 4648 8639 8798 9128 13529 17278 17596 27058 30793 34556 35192 54116 60473 61586 69112 94703 108232 120946 123172 189406 241892 246344 378812 483784 717037 757624 1434074 2868148 5019259 5736296 10038518 20077036 40154072