Search a number
-
+
3750065352 = 23321146110271
BaseRepresentation
bin1101111110000101…
…0111010011001000
3100200100102001120100
43133201113103020
530140004042402
61420040525400
7161634013065
oct33741272310
910610361510
103750065352
1116548a5670
12887a80860
13479c029a7
14278093c6c
1516e35571c
hexdf8574c8

3750065352 has 96 divisors (see below), whose sum is σ = 11104853760. Its totient is φ = 1133808000.

The previous prime is 3750065351. The next prime is 3750065353. The reversal of 3750065352 is 2535600573.

It is an interprime number because it is at equal distance from previous prime (3750065351) and next prime (3750065353).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3750065351) 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, 359977 + ... + 370247.

It is an arithmetic number, because the mean of its divisors is an integer number (115675560).

Almost surely, 23750065352 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 3750065352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552426880).

3750065352 is an abundant number, since it is smaller than the sum of its proper divisors (7354788408).

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

3750065352 is a wasteful number, since it uses less digits than its factorization.

3750065352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 3750065352 is about 61237.7771641003. Note that the first 3 decimals coincide. The cubic root of 3750065352 is about 1553.6252779849.

The spelling of 3750065352 in words is "three billion, seven hundred fifty million, sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 461 792 922 1383 1844 2766 3688 4149 5071 5532 8298 10142 10271 11064 15213 16596 20284 20542 30426 30813 33192 40568 41084 45639 60852 61626 82168 91278 92439 112981 121704 123252 182556 184878 225962 246504 338943 365112 369756 451924 677886 739512 903848 1016829 1355772 2033658 2711544 4067316 4734931 8134632 9469862 14204793 18939724 28409586 37879448 42614379 52084241 56819172 85228758 104168482 113638344 156252723 170457516 208336964 312505446 340915032 416673928 468758169 625010892 937516338 1250021784 1875032676 3750065352