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4455405552 = 243139773609
BaseRepresentation
bin1000010011001000…
…00001011111110000
3102111111122001102110
410021210001133300
533111040434202
62014034445320
7215260215363
oct41144013760
912444561373
104455405552
111986a62154
12a44133840
13560091960
14303a1c0da
151b123026c
hex1099017f0

4455405552 has 80 divisors (see below), whose sum is σ = 12523122080. Its totient is φ = 1356742656.

The previous prime is 4455405541. The next prime is 4455405557. The reversal of 4455405552 is 2555045544.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4455405552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4455405557) 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 15 ways as a sum of consecutive naturals, for example, 23724 + ... + 97332.

It is an arithmetic number, because the mean of its divisors is an integer number (156539026).

Almost surely, 24455405552 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 4455405552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261561040).

4455405552 is an abundant number, since it is smaller than the sum of its proper divisors (8067716528).

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

4455405552 is a wasteful number, since it uses less digits than its factorization.

4455405552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73730 (or 73724 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 39.

The square root of 4455405552 is about 66748.8243491973. The cubic root of 4455405552 is about 1645.4918940524.

The spelling of 4455405552 in words is "four billion, four hundred fifty-five million, four hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 60528 73609 147218 220827 294436 441654 588872 883308 956917 1177744 1766616 1913834 2870751 3533232 3827668 5741502 7140073 7655336 11483004 14280146 15310672 21420219 22966008 28560292 42840438 45932016 57120584 85680876 92820949 114241168 171361752 185641898 278462847 342723504 371283796 556925694 742567592 1113851388 1485135184 2227702776 4455405552