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661396752 = 2434539629
BaseRepresentation
bin100111011011000…
…001110100010000
31201002112102210000
4213123001310100
52323304144002
6145344010000
722250531262
oct4733016420
91632472700
10661396752
1130a383195
12165600900
13a7044533
1463ba9b32
153d0e961c
hex276c1d10

661396752 has 100 divisors (see below), whose sum is σ = 1950595020. Its totient is φ = 216283392.

The previous prime is 661396739. The next prime is 661396877. The reversal of 661396752 is 257693166.

It can be written as a sum of positive squares in 2 ways, for example, as 592240896 + 69155856 = 24336^2 + 8316^2 .

It is a super-2 number, since 2×6613967522 = 874891327112299008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 661396698 and 661396707.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 63874 + ... + 73502.

Almost surely, 2661396752 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 661396752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975297510).

661396752 is an abundant number, since it is smaller than the sum of its proper divisors (1289198268).

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

661396752 is a wasteful number, since it uses less digits than its factorization.

661396752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9687 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 661396752 is about 25717.6350390155. The cubic root of 661396752 is about 871.2725254378.

The spelling of 661396752 in words is "six hundred sixty-one million, three hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 9629 11448 17172 19258 22896 28887 34344 38516 57774 68688 77032 86661 115548 154064 173322 231096 259983 346644 462192 510337 519966 693288 779949 1020674 1039932 1386576 1531011 1559898 2041348 2079864 3062022 3119796 4082696 4159728 4593033 6124044 6239592 8165392 9186066 12248088 12479184 13779099 18372132 24496176 27558198 36744264 41337297 55116396 73488528 82674594 110232792 165349188 220465584 330698376 661396752