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472403072 = 2717239439
BaseRepresentation
bin11100001010000…
…100110010000000
31012220220120012002
4130022010302000
51431413344242
6114513123132
714464234301
oct3412046200
91186816162
10472403072
11222728469
121122594a8
1376b41b5b
1446a507a8
152b716432
hex1c284c80

472403072 has 64 divisors (see below), whose sum is σ = 1039910400. Its totient is φ = 212619264.

The previous prime is 472403059. The next prime is 472403077. The reversal of 472403072 is 270304274.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (472403077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45329 + ... + 54767.

It is an arithmetic number, because the mean of its divisors is an integer number (16248600).

Almost surely, 2472403072 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 472403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519955200).

472403072 is an abundant number, since it is smaller than the sum of its proper divisors (567507328).

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

472403072 is a wasteful number, since it uses less digits than its factorization.

472403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 472403072 is about 21734.8354491126. The cubic root of 472403072 is about 778.8208525806.

The spelling of 472403072 in words is "four hundred seventy-two million, four hundred three thousand, seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 6256 9439 12512 18878 25024 37756 50048 75512 151024 160463 217097 302048 320926 434194 604096 641852 868388 1208192 1283704 1736776 2567408 3473552 3690649 5134816 6947104 7381298 10269632 13894208 14762596 20539264 27788416 29525192 59050384 118100768 236201536 472403072