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4258196448 = 25311172310313
BaseRepresentation
bin1111110111001110…
…1110101111100000
3101222202112210101120
43331303232233200
532210044241243
61542311532240
7210344033622
oct37563565740
911882483346
104258196448
111895706020
129aa08a080
1352b273a8c
142c5764c12
1519dc77c83
hexfdceebe0

4258196448 has 192 divisors, whose sum is σ = 13473879552. Its totient is φ = 1161543680.

The previous prime is 4258196447. The next prime is 4258196479. The reversal of 4258196448 is 8446918524.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4258196448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258196447) 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, 407740 + ... + 418052.

It is an arithmetic number, because the mean of its divisors is an integer number (70176456).

Almost surely, 24258196448 is an apocalyptic number.

4258196448 is a gapful number since it is divisible by the number (48) 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 4258196448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736939776).

4258196448 is an abundant number, since it is smaller than the sum of its proper divisors (9215683104).

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

4258196448 is a wasteful number, since it uses less digits than its factorization.

4258196448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10369 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 4258196448 is about 65254.8576582617. The cubic root of 4258196448 is about 1620.8465382038.

The spelling of 4258196448 in words is "four billion, two hundred fifty-eight million, one hundred ninety-six thousand, four hundred forty-eight".