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474220032 = 293111317127
BaseRepresentation
bin11100010001000…
…000011000000000
31020001022212120220
4130101000120000
51432400020112
6115020103040
714515542456
oct3421003000
91201285526
10474220032
11223759590
12112994a80
1377329b90
1446da49d6
152b97498c
hex1c440600

474220032 has 320 divisors, whose sum is σ = 1583898624. Its totient is φ = 123863040.

The previous prime is 474220027. The next prime is 474220067. The reversal of 474220032 is 230022474.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 474219984 and 474220011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733953 + ... + 3734079.

Almost surely, 2474220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791949312).

474220032 is an abundant number, since it is smaller than the sum of its proper divisors (1109678592).

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

474220032 is a wasteful number, since it uses less digits than its factorization.

474220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 474220032 is about 21776.5936730243. The cubic root of 474220032 is about 779.8180772308.

The spelling of 474220032 in words is "four hundred seventy-four million, two hundred twenty thousand, thirty-two".