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998055464 = 237371313677
BaseRepresentation
bin111011011111010…
…001111000101000
32120120000110201012
4323133101320220
54021000233324
6243011443052
733506221460
oct7337217050
92516013635
10998055464
1147241592a
1223a2b6488
1312ba09083
14967a2ba0
155c94a20e
hex3b7d1e28

998055464 has 64 divisors (see below), whose sum is σ = 2213861760. Its totient is φ = 412888320.

The previous prime is 998055439. The next prime is 998055467. The reversal of 998055464 is 464550899.

It is a super-2 number, since 2×9980554642 = 1992229418440510592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (998055467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269594 + ... + 273270.

It is an arithmetic number, because the mean of its divisors is an integer number (34591590).

Almost surely, 2998055464 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 998055464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106930880).

998055464 is an abundant number, since it is smaller than the sum of its proper divisors (1215806296).

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

998055464 is a wasteful number, since it uses less digits than its factorization.

998055464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 998055464 is about 31592.0158267876. The cubic root of 998055464 is about 999.3514007433.

The spelling of 998055464 in words is "nine hundred ninety-eight million, fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 131 148 259 262 296 518 524 917 1036 1048 1834 2072 3668 3677 4847 7336 7354 9694 14708 19388 25739 29416 33929 38776 51478 67858 102956 135716 136049 205912 271432 272098 481687 544196 952343 963374 1088392 1904686 1926748 3371809 3809372 3853496 6743618 7618744 13487236 17822419 26974472 35644838 71289676 124756933 142579352 249513866 499027732 998055464