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869404968 = 2333231391259
BaseRepresentation
bin110011110100100…
…001000100101000
32020120221100102000
4303310201010220
53240031424333
6222134211000
730354551235
oct6364410450
92216840360
10869404968
11406835903
122031b3a60
1310b173913
148367478c
15514d6713
hex33d21128

869404968 has 128 divisors (see below), whose sum is σ = 2540160000. Its totient is φ = 274988736.

The previous prime is 869404967. The next prime is 869404979.

869404968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (869404967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689923 + ... + 691181.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 2869404968 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 869404968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

869404968 is an abundant number, since it is smaller than the sum of its proper divisors (1670755032).

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

869404968 is a wasteful number, since it uses less digits than its factorization.

869404968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 869404968 is about 29485.6739451551. The cubic root of 869404968 is about 954.4225808740.

The spelling of 869404968 in words is "eight hundred sixty-nine million, four hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 139 184 207 216 276 278 414 417 552 556 621 828 834 1112 1242 1251 1259 1656 1668 2484 2502 2518 3197 3336 3753 3777 4968 5004 5036 6394 7506 7554 9591 10008 10072 11331 12788 15012 15108 19182 22662 25576 28773 28957 30024 30216 33993 38364 45324 57546 57914 67986 76728 86319 86871 90648 115092 115828 135972 172638 173742 175001 230184 231656 260613 271944 345276 347484 350002 521226 525003 690552 694968 700004 781839 1042452 1050006 1400008 1563678 1575009 2084904 2100012 3127356 3150018 4025023 4200024 4725027 6254712 6300036 8050046 9450054 12075069 12600072 16100092 18900108 24150138 32200184 36225207 37800216 48300276 72450414 96600552 108675621 144900828 217351242 289801656 434702484 869404968