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6424294352 = 247247917107
BaseRepresentation
bin1011111101110101…
…01111001111010000
3121120201102222002212
411332322233033100
5101124104404402
62541250531252
7315125413100
oct57672571720
917521388085
106424294352
1127a738a483
1212b3596b28
137b4c65308
1444d2d9200
15278ee9952
hex17eeaf3d0

6424294352 has 60 divisors (see below), whose sum is σ = 14510321280. Its totient is φ = 2747360448.

The previous prime is 6424294351. The next prime is 6424294363. The reversal of 6424294352 is 2534924246.

It is a super-2 number, since 2×64242943522 = 82543115842278199808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424294351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366983 + ... + 384089.

It is an arithmetic number, because the mean of its divisors is an integer number (241838688).

Almost surely, 26424294352 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 6424294352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255160640).

6424294352 is an abundant number, since it is smaller than the sum of its proper divisors (8086026928).

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

6424294352 is a wasteful number, since it uses less digits than its factorization.

6424294352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17608 (or 17595 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The square root of 6424294352 is about 80151.6958772551. The cubic root of 6424294352 is about 1858.9818252960.

The spelling of 6424294352 in words is "six billion, four hundred twenty-four million, two hundred ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 479 784 958 1916 3353 3832 6706 7664 13412 17107 23471 26824 34214 46942 53648 68428 93884 119749 136856 187768 239498 273712 375536 478996 838243 957992 1676486 1915984 3352972 6705944 8194253 13411888 16388506 32777012 57359771 65554024 114719542 131108048 229439084 401518397 458878168 803036794 917756336 1606073588 3212147176 6424294352