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472215744 = 26347211132
BaseRepresentation
bin11100001001010…
…111000011000000
31012220120001020000
4130021113003000
51431341400434
6114505120000
714462524200
oct3411270300
91186501200
10472215744
1122260a750
12112189000
1376aa7800
1446a02400
152b6cab99
hex1c2570c0

472215744 has 630 divisors, whose sum is σ = 1923518124. Its totient is φ = 113218560.

The previous prime is 472215739. The next prime is 472215761. The reversal of 472215744 is 447512274.

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

It is a junction number, because it is equal to n+sod(n) for n = 472215699 and 472215708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 36324282 + ... + 36324294.

Almost surely, 2472215744 is an apocalyptic number.

472215744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961759062).

472215744 is an abundant number, since it is smaller than the sum of its proper divisors (1451302380).

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

472215744 is a wasteful number, since it uses less digits than its factorization.

472215744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 472215744 is about 21730.5256264086. The cubic root of 472215744 is about 778.7178937233.

The spelling of 472215744 in words is "four hundred seventy-two million, two hundred fifteen thousand, seven hundred forty-four".