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40145252 = 22719591279
BaseRepresentation
bin1001100100100…
…1000101100100
32210112120221012
42121021011210
540234122002
63552241352
7665141360
oct231110544
983476835
1040145252
112072a7a4
1211540258
1384179b4
1454902a0
1537ced52
hex2649164

40145252 has 48 divisors (see below), whose sum is σ = 86016000. Its totient is φ = 16010784.

The previous prime is 40145249. The next prime is 40145299. The reversal of 40145252 is 25254104.

It is a happy number.

It is a super-3 number, since 3×401452523 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30749 + ... + 32027.

It is an arithmetic number, because the mean of its divisors is an integer number (1792000).

Almost surely, 240145252 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 40145252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008000).

40145252 is an abundant number, since it is smaller than the sum of its proper divisors (45870748).

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

40145252 is a wasteful number, since it uses less digits than its factorization.

40145252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 40145252 is about 6336.0280933721. The cubic root of 40145252 is about 342.4086516469.

Adding to 40145252 its reverse (25254104), we get a palindrome (65399356).

The spelling of 40145252 in words is "forty million, one hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 826 1121 1279 1652 2242 2558 4484 5116 7847 8953 15694 17906 24301 31388 35812 48602 75461 97204 150922 170107 301844 340214 528227 680428 1056454 1433759 2112908 2867518 5735036 10036313 20072626 40145252