Search a number
-
+
873789952 = 2972291201
BaseRepresentation
bin110100000101001…
…111101000000000
32020220012010110211
4310011033220000
53242142234302
6222412203504
730440043400
oct6405175000
92226163424
10873789952
11409260362
12204769594
1310c04a799
1484096800
1551aa0ad7
hex3414fa00

873789952 has 120 divisors (see below), whose sum is σ = 2102694660. Its totient is φ = 361267200.

The previous prime is 873789949. The next prime is 873790009. The reversal of 873789952 is 259987378.

It can be written as a sum of positive squares in 2 ways, for example, as 765296896 + 108493056 = 27664^2 + 10416^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 726952 + ... + 728152.

Almost surely, 2873789952 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 873789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051347330).

873789952 is an abundant number, since it is smaller than the sum of its proper divisors (1228904708).

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

873789952 is a wasteful number, since it uses less digits than its factorization.

873789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1239 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 58.

The square root of 873789952 is about 29559.9382949288. The cubic root of 873789952 is about 956.0244854054.

It can be divided in two parts, 8737 and 89952, that added together give a palindrome (98689).

The spelling of 873789952 in words is "eight hundred seventy-three million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 784 812 896 928 1201 1421 1568 1624 1792 1856 2402 2842 3136 3248 3584 3712 4804 5684 6272 6496 7424 8407 9608 11368 12544 12992 14848 16814 19216 22736 25088 25984 33628 34829 38432 45472 51968 58849 67256 69658 76864 90944 103936 117698 134512 139316 153728 181888 235396 243803 269024 278632 307456 363776 470792 487606 538048 557264 614912 727552 941584 975212 1076096 1114528 1706621 1883168 1950424 2152192 2229056 3413242 3766336 3900848 4304384 4458112 6826484 7532672 7801696 8916224 13652968 15065344 15603392 17832448 27305936 30130688 31206784 54611872 62413568 109223744 124827136 218447488 436894976 873789952