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40293972 = 22328591303
BaseRepresentation
bin1001100110110…
…1011001010100
32210211010221100
42121231121110
540303401342
63555350100
7666331065
oct231553124
983733840
1040293972
1120821504
12115b2330
13846a5b4
1454cc56c
15380de4c
hex266d654

40293972 has 36 divisors (see below), whose sum is σ = 102051040. Its totient is φ = 13405392.

The previous prime is 40293971. The next prime is 40294013. The reversal of 40293972 is 27939204.

40293972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40293971) 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 11 ways as a sum of consecutive naturals, for example, 30273 + ... + 31575.

Almost surely, 240293972 is an apocalyptic number.

It is an amenable number.

40293972 is an abundant number, since it is smaller than the sum of its proper divisors (61757068).

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

40293972 is a wasteful number, since it uses less digits than its factorization.

40293972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40293972 is about 6347.7533033350. The cubic root of 40293972 is about 342.8309536543.

It can be divided in two parts, 4029 and 3972, that added together give a triangular number (8001 = T126).

The spelling of 40293972 in words is "forty million, two hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 859 1303 1718 2577 2606 3436 3909 5154 5212 7731 7818 10308 11727 15462 15636 23454 30924 46908 1119277 2238554 3357831 4477108 6715662 10073493 13431324 20146986 40293972