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1415452064 = 25132318443
BaseRepresentation
bin101010001011110…
…0001010110100000
310122122102102012112
41110113201112200
510344323431224
6352242014452
750035100255
oct12427412640
93578372175
101415452064
11666a930a4
12336047428
1319732bb00
14d5db542c
15843e830e
hex545e15a0

1415452064 has 72 divisors (see below), whose sum is σ = 3115228032. Its totient is φ = 632136960.

The previous prime is 1415452019. The next prime is 1415452069. The reversal of 1415452064 is 4602545141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1415452064.

It is not an unprimeable number, because it can be changed into a prime (1415452069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163427 + ... + 171869.

It is an arithmetic number, because the mean of its divisors is an integer number (43267056).

Almost surely, 21415452064 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 1415452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557614016).

1415452064 is an abundant number, since it is smaller than the sum of its proper divisors (1699775968).

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

1415452064 is a wasteful number, since it uses less digits than its factorization.

1415452064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1415452064 is about 37622.4941225326. The cubic root of 1415452064 is about 1122.7896191685.

The spelling of 1415452064 in words is "one billion, four hundred fifteen million, four hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 676 806 992 1352 1612 2704 3224 5239 5408 6448 8443 10478 12896 16886 20956 33772 41912 67544 83824 109759 135088 167648 219518 261733 270176 439036 523466 878072 1046932 1426867 1756144 2093864 2853734 3402529 3512288 4187728 5707468 6805058 8375456 11414936 13610116 22829872 27220232 44232877 45659744 54440464 88465754 108880928 176931508 353863016 707726032 1415452064