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4465940608 = 27291916299
BaseRepresentation
bin1000010100011000…
…01101100010000000
3102112020110021210201
410022030031202000
533121240044413
62015052334544
7215445604003
oct41214154200
912466407721
104465940608
1119919a8308
12a47774454
1356230cc0c
143051a153a
151b21119dd
hex10a30d880

4465940608 has 64 divisors (see below), whose sum is σ = 9253440000. Its totient is φ = 2144343040.

The previous prime is 4465940603. The next prime is 4465940629. The reversal of 4465940608 is 8060495644.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4465940603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705843 + ... + 712141.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 24465940608 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 4465940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720000).

4465940608 is an abundant number, since it is smaller than the sum of its proper divisors (4787499392).

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

4465940608 is a wasteful number, since it uses less digits than its factorization.

4465940608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 4465940608 is about 66827.6934212157. The cubic root of 4465940608 is about 1646.7878257397.

The spelling of 4465940608 in words is "four billion, four hundred sixty-five million, nine hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 191 232 382 464 764 928 1528 1856 3056 3712 5539 6112 6299 11078 12224 12598 22156 24448 25196 44312 50392 88624 100784 177248 182671 201568 354496 365342 403136 708992 730684 806272 1203109 1461368 2406218 2922736 4812436 5845472 9624872 11690944 19249744 23381888 34890161 38499488 69780322 76998976 139560644 153997952 279121288 558242576 1116485152 2232970304 4465940608