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872386452 = 223274637477
BaseRepresentation
bin110011111111111…
…000111110010100
32020210112211020100
4303333320332110
53241312331302
6222322134100
730422106510
oct6377707624
92223484210
10872386452
11408491943
122041b1330
1310b978a02
1483c0d140
15518c4d1c
hex33ff8f94

872386452 has 72 divisors (see below), whose sum is σ = 2526008576. Its totient is φ = 248681664.

The previous prime is 872386373. The next prime is 872386477. The reversal of 872386452 is 254683278.

It is a super-2 number, since 2×8723864522 = 1522116243266296608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 872386398 and 872386407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112938 + ... + 120414.

Almost surely, 2872386452 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 872386452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263004288).

872386452 is an abundant number, since it is smaller than the sum of its proper divisors (1653622124).

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

872386452 is a wasteful number, since it uses less digits than its factorization.

872386452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7952 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 872386452 is about 29536.1888536758. The cubic root of 872386452 is about 955.5123488206.

The spelling of 872386452 in words is "eight hundred seventy-two million, three hundred eighty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 463 926 1389 1852 2778 3241 4167 5556 6482 7477 8334 9723 12964 14954 16668 19446 22431 29169 29908 38892 44862 52339 58338 67293 89724 104678 116676 134586 157017 209356 269172 314034 471051 628068 942102 1884204 3461851 6923702 10385553 13847404 20771106 24232957 31156659 41542212 48465914 62313318 72698871 96931828 124626636 145397742 218096613 290795484 436193226 872386452