Search a number
-
+
874231056 = 24343591879
BaseRepresentation
bin110100000110111…
…011010100010000
32020221000112120000
4310012323110100
53242300343211
6222425450000
730443561406
oct6406732420
92227015500
10874231056
11409531806
12204940900
1310c1734aa
148416d476
1551b3b656
hex341bb510

874231056 has 100 divisors (see below), whose sum is σ = 2538676800. Its totient is φ = 290443968.

The previous prime is 874231051. The next prime is 874231117. The reversal of 874231056 is 650132478.

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

It is a self number, because there is not a number n which added to its sum of digits gives 874231056.

It is not an unprimeable number, because it can be changed into a prime (874231051) by changing a digit.

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, 464325 + ... + 466203.

It is an arithmetic number, because the mean of its divisors is an integer number (25386768).

Almost surely, 2874231056 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 874231056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269338400).

874231056 is an abundant number, since it is smaller than the sum of its proper divisors (1664445744).

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

874231056 is a wasteful number, since it uses less digits than its factorization.

874231056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 874231056 is about 29567.3985328436. The cubic root of 874231056 is about 956.1853308054.

The spelling of 874231056 in words is "eight hundred seventy-four million, two hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 359 432 648 718 1077 1296 1436 1879 2154 2872 3231 3758 4308 5637 5744 6462 7516 8616 9693 11274 12924 15032 16911 17232 19386 22548 25848 29079 30064 33822 38772 45096 50733 51696 58158 67644 77544 90192 101466 116316 135288 152199 155088 202932 232632 270576 304398 405864 465264 608796 674561 811728 1217592 1349122 2023683 2435184 2698244 4047366 5396488 6071049 8094732 10792976 12142098 16189464 18213147 24284196 32378928 36426294 48568392 54639441 72852588 97136784 109278882 145705176 218557764 291410352 437115528 874231056