Search a number
-
+
469076712 = 2331319531493
BaseRepresentation
bin11011111101011…
…000101011101000
31012200122120021120
4123331120223220
51430040423322
6114313535240
714424041406
oct3375305350
91180576246
10469076712
11220866305
12111114520
1376248ab0
1446426476
152b2aaa5c
hex1bf58ae8

469076712 has 128 divisors (see below), whose sum is σ = 1355356800. Its totient is φ = 134065152.

The previous prime is 469076689. The next prime is 469076747. The reversal of 469076712 is 217670964.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 313438 + ... + 314930.

It is an arithmetic number, because the mean of its divisors is an integer number (10588725).

Almost surely, 2469076712 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 469076712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677678400).

469076712 is an abundant number, since it is smaller than the sum of its proper divisors (886280088).

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

469076712 is a wasteful number, since it uses less digits than its factorization.

469076712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 469076712 is about 21658.1788708100. The cubic root of 469076712 is about 776.9885592680.

The spelling of 469076712 in words is "four hundred sixty-nine million, seventy-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 53 57 76 78 104 106 114 152 156 159 212 228 247 312 318 424 456 494 636 689 741 988 1007 1272 1378 1482 1493 1976 2014 2067 2756 2964 2986 3021 4028 4134 4479 5512 5928 5972 6042 8056 8268 8958 11944 12084 13091 16536 17916 19409 24168 26182 28367 35832 38818 39273 52364 56734 58227 77636 78546 79129 85101 104728 113468 116454 155272 157092 158258 170202 226936 232908 237387 314184 316516 340404 368771 465816 474774 633032 680808 737542 949548 1028677 1106313 1475084 1503451 1899096 2057354 2212626 2950168 3006902 3086031 4114708 4425252 4510353 6013804 6172062 8229416 8850504 9020706 12027608 12344124 18041412 19544863 24688248 36082824 39089726 58634589 78179452 117269178 156358904 234538356 469076712