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972414440 = 23524310361
BaseRepresentation
bin111001111101011…
…101110111101000
32111202202202211122
4321331131313220
53442414230230
6240254114412
733045246344
oct7175356750
92452682748
10972414440
114599a23a8
122317aba08
131265cc17a
149320a624
155a582be5
hex39f5dde8

972414440 has 16 divisors (see below), whose sum is σ = 2187932580. Its totient is φ = 388965760.

The previous prime is 972414439. The next prime is 972414461. The reversal of 972414440 is 44414279.

It can be written as a sum of positive squares in 2 ways, for example, as 967583236 + 4831204 = 31106^2 + 2198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 972414440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12155141 + ... + 12155220.

Almost surely, 2972414440 is an apocalyptic number.

It is an amenable number.

972414440 is an abundant number, since it is smaller than the sum of its proper divisors (1215518140).

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

972414440 is a wasteful number, since it uses less digits than its factorization.

972414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24310372 (or 24310368 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 972414440 is about 31183.5604124994. The cubic root of 972414440 is about 990.7189417756.

The spelling of 972414440 in words is "nine hundred seventy-two million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 24310361 48620722 97241444 121551805 194482888 243103610 486207220 972414440