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1252104464 = 241329251827
BaseRepresentation
bin100101010100001…
…1001100100010000
310020021001111102102
41022220121210100
510031014320324
6324124535532
743012466222
oct11250314420
93207044372
101252104464
11592864686
122ab3b15a8
1316c538720
14bc414412
1574dcddae
hex4aa19910

1252104464 has 80 divisors (see below), whose sum is σ = 2716701120. Its totient is φ = 555072000.

The previous prime is 1252104461. The next prime is 1252104481. The reversal of 1252104464 is 4644012521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1252104461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513619 + ... + 1514445.

It is an arithmetic number, because the mean of its divisors is an integer number (33958764).

Almost surely, 21252104464 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 1252104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358350560).

1252104464 is an abundant number, since it is smaller than the sum of its proper divisors (1464596656).

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

1252104464 is a wasteful number, since it uses less digits than its factorization.

1252104464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1252104464 is about 35385.0881587145. The cubic root of 1252104464 is about 1077.8215301125.

Adding to 1252104464 its reverse (4644012521), we get a palindrome (5896116985).

The spelling of 1252104464 in words is "one billion, two hundred fifty-two million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 251 377 464 502 754 827 1004 1508 1654 2008 3016 3263 3308 4016 6032 6526 6616 7279 10751 13052 13232 14558 21502 23983 26104 29116 43004 47966 52208 58232 86008 94627 95932 116464 172016 189254 191864 207577 311779 378508 383728 415154 623558 757016 830308 1247116 1514032 1660616 2494232 2698501 3321232 4988464 5397002 6019733 10794004 12039466 21588008 24078932 43176016 48157864 78256529 96315728 156513058 313026116 626052232 1252104464