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3998800100 = 225261655541
BaseRepresentation
bin1110111001011000…
…1101100011100100
3101022200110002111102
43232112031203210
531142143100400
61500444055232
7201044145221
oct35626154344
911280402442
103998800100
111772244779
12937234518
134b95c1509
1429d120948
151860d99d5
hexee58d8e4

3998800100 has 36 divisors (see below), whose sum is σ = 8819662068. Its totient is φ = 1573296000.

The previous prime is 3998800087. The next prime is 3998800103. The reversal of 3998800100 is 10088993.

It can be written as a sum of positive squares in 6 ways, for example, as 677352676 + 3321447424 = 26026^2 + 57632^2 .

It is not an unprimeable number, because it can be changed into a prime (3998800103) 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 11 ways as a sum of consecutive naturals, for example, 321671 + ... + 333870.

It is an arithmetic number, because the mean of its divisors is an integer number (244990613).

Almost surely, 23998800100 is an apocalyptic number.

It is an amenable number.

3998800100 is an abundant number, since it is smaller than the sum of its proper divisors (4820861968).

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

3998800100 is a wasteful number, since it uses less digits than its factorization.

3998800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655616 (or 655609 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 3998800100 is about 63236.0664494559. The cubic root of 3998800100 is about 1587.2423092173.

The spelling of 3998800100 in words is "three billion, nine hundred ninety-eight million, eight hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 655541 1311082 2622164 3277705 6555410 13110820 16388525 32777050 39988001 65554100 79976002 159952004 199940005 399880010 799760020 999700025 1999400050 3998800100