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3250052740 = 22511210113297
BaseRepresentation
bin1100000110110111…
…1101111010000100
322101111112210012201
43001231331322010
523124003141430
61254255524244
7143352664264
oct30155757204
98344483181
103250052740
11141862a800
12768529684
133ca444c3c
1422b8d77a4
151404d88ca
hexc1b7de84

3250052740 has 72 divisors (see below), whose sum is σ = 7576828056. Its totient is φ = 1170048000.

The previous prime is 3250052719. The next prime is 3250052747. The reversal of 3250052740 is 472500523.

It can be written as a sum of positive squares in 4 ways, for example, as 203233536 + 3046819204 = 14256^2 + 55198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3250052699 and 3250052708.

It is not an unprimeable number, because it can be changed into a prime (3250052747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237772 + ... + 251068.

It is an arithmetic number, because the mean of its divisors is an integer number (105233723).

Almost surely, 23250052740 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 3250052740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788414028).

3250052740 is an abundant number, since it is smaller than the sum of its proper divisors (4326775316).

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

3250052740 is a wasteful number, since it uses less digits than its factorization.

3250052740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429 (or 13416 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 3250052740 is about 57009.2338134797. The cubic root of 3250052740 is about 1481.2560465728.

The spelling of 3250052740 in words is "three billion, two hundred fifty million, fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 13297 22220 24442 26594 48884 53188 61105 66485 122210 132970 146267 244420 265940 292534 585068 731335 1342997 1462670 1608937 2685994 2925340 3217874 5371988 6435748 6714985 8044685 13429970 14772967 16089370 26859940 29545934 32178740 59091868 73864835 147729670 162502637 295459340 325005274 650010548 812513185 1625026370 3250052740