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3425293248 = 263131972227
BaseRepresentation
bin1100110000101001…
…1101001111000000
322211201021220222220
43030022131033000
524003333340443
61323515531040
7150611340456
oct31412351700
98751256886
103425293248
1114a8541573
127b7159a80
13427840650
14246cb29d6
15150aa1a83
hexcc29d3c0

3425293248 has 112 divisors (see below), whose sum is σ = 10273710720. Its totient is φ = 998452224.

The previous prime is 3425293243. The next prime is 3425293301. The reversal of 3425293248 is 8423925243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425293243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11311 + ... + 83537.

It is an arithmetic number, because the mean of its divisors is an integer number (91729560).

Almost surely, 23425293248 is an apocalyptic number.

3425293248 is a gapful number since it is divisible by the number (38) 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 3425293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136855360).

3425293248 is an abundant number, since it is smaller than the sum of its proper divisors (6848417472).

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

3425293248 is a wasteful number, since it uses less digits than its factorization.

3425293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72274 (or 72264 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 3425293248 is about 58526.0048867168. The cubic root of 3425293248 is about 1507.4141448152.

The spelling of 3425293248 in words is "three billion, four hundred twenty-five million, two hundred ninety-three thousand, two hundred forty-eight".

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 23712 47424 72227 144454 216681 288908 433362 577816 866724 938951 1155632 1372313 1733448 1877902 2311264 2744626 2816853 3466896 3755804 4116939 4622528 5489252 5633706 6933792 7511608 8233878 10978504 11267412 13867584 15023216 16467756 17840069 21957008 22534824 30046432 32935512 35680138 43914016 45069648 53520207 60092864 65871024 71360276 87828032 90139296 107040414 131742048 142720552 180278592 214080828 263484096 285441104 428161656 570882208 856323312 1141764416 1712646624 3425293248