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472214016 = 293334159
BaseRepresentation
bin11100001001010…
…110101000000000
31012220112221212000
4130021112220000
51431341322031
6114505104000
714462516151
oct3411265000
91186487760
10472214016
1122260941a
12112188000
1376aa6aa1
1446a01928
152b6ca3e6
hex1c256a00

472214016 has 80 divisors (see below), whose sum is σ = 1397827200. Its totient is φ = 157400064.

The previous prime is 472213999. The next prime is 472214021. The reversal of 472214016 is 610412274.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3256 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (17472840).

Almost surely, 2472214016 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 472214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698913600).

472214016 is an abundant number, since it is smaller than the sum of its proper divisors (925613184).

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

472214016 is an equidigital number, since it uses as much as digits as its factorization.

472214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34186 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472214016 is about 21730.4858666345. The cubic root of 472214016 is about 778.7169438565.

The spelling of 472214016 in words is "four hundred seventy-two million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 34159 68318 102477 136636 204954 273272 307431 409908 546544 614862 819816 922293 1093088 1229724 1639632 1844586 2186176 2459448 3279264 3689172 4372352 4918896 6558528 7378344 8744704 9837792 13117056 14756688 17489408 19675584 26234112 29513376 39351168 52468224 59026752 78702336 118053504 157404672 236107008 472214016