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601393056 = 253113118371
BaseRepresentation
bin100011110110001…
…000011110100000
31112220121221011220
4203312020132200
52212424034211
6135401535040
720621520345
oct4366103640
91486557156
10601393056
1128951a560
121494a4480
13977959a4
1459c2a7cc
1537be5806
hex23d887a0

601393056 has 96 divisors (see below), whose sum is σ = 1777821696. Its totient is φ = 176352000.

The previous prime is 601393049. The next prime is 601393069. The reversal of 601393056 is 650393106.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23551 + ... + 41921.

It is an arithmetic number, because the mean of its divisors is an integer number (18518976).

Almost surely, 2601393056 is an apocalyptic number.

601393056 is a gapful number since it is divisible by the number (66) 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 601393056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888910848).

601393056 is an abundant number, since it is smaller than the sum of its proper divisors (1176428640).

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

601393056 is a wasteful number, since it uses less digits than its factorization.

601393056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 601393056 is about 24523.3165783097. The cubic root of 601393056 is about 844.0849101849.

Subtracting 601393056 from its reverse (650393106), we obtain a triangular number (49000050 = T9899).

The spelling of 601393056 in words is "six hundred one million, three hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 18371 32736 36742 55113 73484 110226 146968 202081 220452 293936 404162 440904 569501 587872 606243 808324 881808 1139002 1212486 1616648 1708503 1763616 2278004 2424972 3233296 3417006 4556008 4849944 6264511 6466592 6834012 9112016 9699888 12529022 13668024 18224032 18793533 19399776 25058044 27336048 37587066 50116088 54672096 75174132 100232176 150348264 200464352 300696528 601393056