Search a number
-
+
874640832 = 263131918443
BaseRepresentation
bin110100001000011…
…111010111000000
32020221210100122220
4310020133113000
53242402001312
6222442331040
730450216162
oct6410372700
92227710586
10874640832
1140979166a
12204ab9a80
1310c287b70
1484238932
1551bbcc8c
hex3421f5c0

874640832 has 112 divisors (see below), whose sum is σ = 2623474560. Its totient is φ = 254942208.

The previous prime is 874640827. The next prime is 874640843. The reversal of 874640832 is 238046478.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38203 + ... + 56645.

It is an arithmetic number, because the mean of its divisors is an integer number (23423880).

Almost surely, 2874640832 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 874640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311737280).

874640832 is an abundant number, since it is smaller than the sum of its proper divisors (1748833728).

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

874640832 is a wasteful number, since it uses less digits than its factorization.

874640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490 (or 18480 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 874640832 is about 29574.3272450955. The cubic root of 874640832 is about 956.3347042059.

The spelling of 874640832 in words is "eight hundred seventy-four million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 18443 23712 36886 47424 55329 73772 110658 147544 221316 239759 295088 350417 442632 479518 590176 700834 719277 885264 959036 1051251 1180352 1401668 1438554 1770528 1918072 2102502 2803336 2877108 3541056 3836144 4205004 4555421 5606672 5754216 7672288 8410008 9110842 11213344 11508432 13666263 15344576 16820016 18221684 22426688 23016864 27332526 33640032 36443368 46033728 54665052 67280064 72886736 109330104 145773472 218660208 291546944 437320416 874640832