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316887552 = 2937283
BaseRepresentation
bin10010111000110…
…101001000000000
3211002021120000000
4102320311020000
51122110400202
651240000000
710565333262
oct2270651000
9732246000
10316887552
11152969343
128a160000
1350861637
143012bb32
151cc4791c
hex12e35200

316887552 has 160 divisors (see below), whose sum is σ = 952944960. Its totient is φ = 105255936.

The previous prime is 316887547. The next prime is 316887563. The reversal of 316887552 is 255788613.

316887552 is a `hidden beast` number, since 3 + 16 + 8 + 87 + 552 = 666.

It is a super-2 number, since 2×3168875522 = 200835441225105408, which contains 22 as substring.

Its product of digits (403200) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 316887498 and 316887507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119603 + ... + 1119885.

It is an arithmetic number, because the mean of its divisors is an integer number (5955906).

Almost surely, 2316887552 is an apocalyptic number.

316887552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476472480).

316887552 is an abundant number, since it is smaller than the sum of its proper divisors (636057408).

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

316887552 is an frugal number, since it uses more digits than its factorization.

316887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 316887552 is about 17801.3356802235. The cubic root of 316887552 is about 681.7655618446.

The spelling of 316887552 in words is "three hundred sixteen million, eight hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 283 288 324 384 432 486 512 566 576 648 729 768 849 864 972 1132 1152 1296 1458 1536 1698 1728 1944 2187 2264 2304 2547 2592 2916 3396 3456 3888 4374 4528 4608 5094 5184 5832 6792 6912 7641 7776 8748 9056 10188 10368 11664 13584 13824 15282 15552 17496 18112 20376 20736 22923 23328 27168 30564 31104 34992 36224 40752 41472 45846 46656 54336 61128 62208 68769 69984 72448 81504 91692 93312 108672 122256 124416 137538 139968 144896 163008 183384 186624 206307 217344 244512 275076 279936 326016 366768 373248 412614 434688 489024 550152 559872 618921 652032 733536 825228 978048 1100304 1119744 1237842 1304064 1467072 1650456 1956096 2200608 2475684 2934144 3300912 3912192 4401216 4951368 5868288 6601824 8802432 9902736 11736576 13203648 17604864 19805472 26407296 35209728 39610944 52814592 79221888 105629184 158443776 316887552