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471104032 = 25722313063
BaseRepresentation
bin11100000101000…
…111101000100000
31012211110120020111
4130011013220200
51431100312112
6114425221104
714450214100
oct3405075040
91184416214
10471104032
11221a20483
12111931794
13767a87a9
14467d3200
152b55b5a7
hex1c147a20

471104032 has 72 divisors (see below), whose sum is σ = 1125907776. Its totient is φ = 193108608.

The previous prime is 471104021. The next prime is 471104047. The reversal of 471104032 is 230401174.

It is a junction number, because it is equal to n+sod(n) for n = 471103994 and 471104012.

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 11 ways as a sum of consecutive naturals, for example, 29533 + ... + 42595.

It is an arithmetic number, because the mean of its divisors is an integer number (15637608).

Almost surely, 2471104032 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 471104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562953888).

471104032 is an abundant number, since it is smaller than the sum of its proper divisors (654803744).

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

471104032 is a wasteful number, since it uses less digits than its factorization.

471104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13095 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 471104032 is about 21704.9310526433. The cubic root of 471104032 is about 778.1063157226.

The spelling of 471104032 in words is "four hundred seventy-one million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 13063 18032 26126 36064 52252 91441 104504 182882 209008 300449 365764 418016 600898 640087 731528 1201796 1280174 1463056 2103143 2403592 2560348 2926112 4206286 4807184 5120696 8412572 9614368 10241392 14722001 16825144 20482784 29444002 33650288 58888004 67300576 117776008 235552016 471104032