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63470952 = 2334412389
BaseRepresentation
bin1111001000011…
…1110101101000
311102102122210000
43302013311220
5112222032302
610144223000
71400331336
oct362076550
9142378700
1063470952
1132911736
121930aa60
13101c3a9c
148602b56
15588b31c
hex3c87d68

63470952 has 80 divisors (see below), whose sum is σ = 182189700. Its totient is φ = 20632320.

The previous prime is 63470951. The next prime is 63470959. The reversal of 63470952 is 25907436.

It can be written as a sum of positive squares in 2 ways, for example, as 52620516 + 10850436 = 7254^2 + 3294^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63470951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25374 + ... + 27762.

Almost surely, 263470952 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 63470952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91094850).

63470952 is an abundant number, since it is smaller than the sum of its proper divisors (118718748).

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

63470952 is a wasteful number, since it uses less digits than its factorization.

63470952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 63470952 is about 7966.8658831438. The cubic root of 63470952 is about 398.8947656218.

The spelling of 63470952 in words is "sixty-three million, four hundred seventy thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2389 2952 3321 4428 4778 6642 7167 8856 9556 13284 14334 19112 21501 26568 28668 43002 57336 64503 86004 97949 129006 172008 193509 195898 258012 293847 387018 391796 516024 587694 774036 783592 881541 1175388 1548072 1763082 2350776 2644623 3526164 5289246 7052328 7933869 10578492 15867738 21156984 31735476 63470952