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40361952 = 253593709
BaseRepresentation
bin1001100111110…
…1111111100000
32210221121012010
42121331333200
540313040302
64001032520
71000033221
oct231757740
983847163
1040361952
1120868594
1211625740
138492517
145509248
15382416c
hex267dfe0

40361952 has 48 divisors (see below), whose sum is σ = 106278480. Its totient is φ = 13412352.

The previous prime is 40361911. The next prime is 40361953. The reversal of 40361952 is 25916304.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40361953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56574 + ... + 57282.

It is an arithmetic number, because the mean of its divisors is an integer number (2214135).

Almost surely, 240361952 is an apocalyptic number.

It is an amenable number.

40361952 is an abundant number, since it is smaller than the sum of its proper divisors (65916528).

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

40361952 is a wasteful number, since it uses less digits than its factorization.

40361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 40361952 is about 6353.1056972161. The cubic root of 40361952 is about 343.0236421469.

The spelling of 40361952 in words is "forty million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 593 709 1186 1418 1779 2127 2372 2836 3558 4254 4744 5672 7116 8508 9488 11344 14232 17016 18976 22688 28464 34032 56928 68064 420437 840874 1261311 1681748 2522622 3363496 5045244 6726992 10090488 13453984 20180976 40361952