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1045055376 = 2432109139479
BaseRepresentation
bin111110010010100…
…100011110010000
32200211110022110200
4332102210132100
54120013233001
6251411055200
734616552451
oct7622443620
92624408420
101045055376
114969a7632
12251ba1500
13138683a81
149cb19128
1561b31086
hex3e4a4790

1045055376 has 120 divisors (see below), whose sum is σ = 2978976000. Its totient is φ = 341957376.

The previous prime is 1045055369. The next prime is 1045055419. The reversal of 1045055376 is 6735505401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1045055376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2181505 + ... + 2181983.

It is an arithmetic number, because the mean of its divisors is an integer number (24824800).

Almost surely, 21045055376 is an apocalyptic number.

1045055376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045055376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489488000).

1045055376 is an abundant number, since it is smaller than the sum of its proper divisors (1933920624).

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

1045055376 is a wasteful number, since it uses less digits than its factorization.

1045055376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1045055376 is about 32327.3162511211. The cubic root of 1045055376 is about 1014.7983861890.

The spelling of 1045055376 in words is "one billion, forty-five million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 139 144 218 278 327 417 436 479 556 654 834 872 958 981 1112 1251 1308 1437 1668 1744 1916 1962 2224 2502 2616 2874 3336 3832 3924 4311 5004 5232 5748 6672 7664 7848 8622 10008 11496 15151 15696 17244 20016 22992 30302 34488 45453 52211 60604 66581 68976 90906 104422 121208 133162 136359 156633 181812 199743 208844 242416 266324 272718 313266 363624 399486 417688 469899 532648 545436 599229 626532 727248 798972 835376 939798 1065296 1090872 1198458 1253064 1597944 1879596 2181744 2396916 2506128 3195888 3759192 4793832 7257329 7518384 9587664 14514658 21771987 29029316 43543974 58058632 65315961 87087948 116117264 130631922 174175896 261263844 348351792 522527688 1045055376