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40249152 = 263269877
BaseRepresentation
bin1001100110001…
…0011101000000
32210201212110100
42121202131000
540300433102
63554402400
7666053316
oct231423500
983655410
1040249152
11207a0869
1211590400
138453088
1454ba0b6
153800a1c
hex2662740

40249152 has 42 divisors (see below), whose sum is σ = 115368578. Its totient is φ = 13416192.

The previous prime is 40249147. The next prime is 40249199. The reversal of 40249152 is 25194204.

It can be written as a sum of positive squares in only one way, i.e., 22810176 + 17438976 = 4776^2 + 4176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34363 + ... + 35514.

Almost surely, 240249152 is an apocalyptic number.

It is an amenable number.

40249152 is an abundant number, since it is smaller than the sum of its proper divisors (75119426).

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

40249152 is a wasteful number, since it uses less digits than its factorization.

40249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69895 (or 69882 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40249152 is about 6344.2219381103. The cubic root of 40249152 is about 342.7037933264.

It can be divided in two parts, 40249 and 152, that added together give a square (40401 = 2012).

The spelling of 40249152 in words is "forty million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 69877 139754 209631 279508 419262 559016 628893 838524 1118032 1257786 1677048 2236064 2515572 3354096 4472128 5031144 6708192 10062288 13416384 20124576 40249152