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4268924352 = 2632711293319
BaseRepresentation
bin1111111001110010…
…1001110111000000
3102000111201211022100
43332130221313000
532220321034402
61543333510400
7210534154410
oct37634516700
912014654270
104268924352
1118a0773060
129b17a2400
1353055ba54
142c6d58640
1519eb9671c
hexfe729dc0

4268924352 has 336 divisors, whose sum is σ = 15786201600. Its totient is φ = 1070254080.

The previous prime is 4268924311. The next prime is 4268924353. The reversal of 4268924352 is 2534298624.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×42689243523 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4268924298 and 4268924307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268924353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284549 + ... + 1287867.

Almost surely, 24268924352 is an apocalyptic number.

4268924352 is a gapful number since it is divisible by the number (42) 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 4268924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893100800).

4268924352 is an abundant number, since it is smaller than the sum of its proper divisors (11517277248).

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

4268924352 is a wasteful number, since it uses less digits than its factorization.

4268924352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3371 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4268924352 is about 65337.0059920104. The cubic root of 4268924352 is about 1622.2065587557.

The spelling of 4268924352 in words is "four billion, two hundred sixty-eight million, nine hundred twenty-four thousand, three hundred fifty-two".