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40145772 = 22317832371
BaseRepresentation
bin1001100100100…
…1001101101100
32210112121122110
42121021031230
540234131042
63552244020
7665143032
oct231111554
983477573
1040145772
1120730127
1211540610
138417cc4
145490552
1537d009c
hex264936c

40145772 has 48 divisors (see below), whose sum is σ = 100420992. Its totient is φ = 12437760.

The previous prime is 40145771. The next prime is 40145779. The reversal of 40145772 is 27754104.

It is a super-2 number, since 2×401457722 = 3223366018951968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40145771) 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, 15747 + ... + 18117.

It is an arithmetic number, because the mean of its divisors is an integer number (2092104).

Almost surely, 240145772 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 40145772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50210496).

40145772 is an abundant number, since it is smaller than the sum of its proper divisors (60275220).

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

40145772 is a wasteful number, since it uses less digits than its factorization.

40145772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 40145772 is about 6336.0691284108. The cubic root of 40145772 is about 342.4101300428.

Adding to 40145772 its reverse (27754104), we get a palindrome (67899876).

The spelling of 40145772 in words is "forty million, one hundred forty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2371 2822 4233 4742 5644 7113 8466 9484 14226 16932 28452 40307 80614 120921 161228 196793 241842 393586 483684 590379 787172 1180758 2361516 3345481 6690962 10036443 13381924 20072886 40145772