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1988623400 = 235223941603
BaseRepresentation
bin111011010000111…
…1111110000101000
312010120221112110112
41312201333300220
513033041422100
6525155033452
7100165006601
oct16641776050
95116845415
101988623400
11930587215
12475b9b888
13258cc304a
1414c176da8
15b98b6b35
hex7687fc28

1988623400 has 48 divisors (see below), whose sum is σ = 4643006400. Its totient is φ = 792102080.

The previous prime is 1988623393. The next prime is 1988623411. The reversal of 1988623400 is 43268891.

It is an unprimeable number.

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, 26999 + ... + 68601.

It is an arithmetic number, because the mean of its divisors is an integer number (96729300).

Almost surely, 21988623400 is an apocalyptic number.

1988623400 is a gapful number since it is divisible by the number (10) 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 1988623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321503200).

1988623400 is an abundant number, since it is smaller than the sum of its proper divisors (2654383000).

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

1988623400 is a wasteful number, since it uses less digits than its factorization.

1988623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41858 (or 41849 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 1988623400 is about 44593.9838991764. The cubic root of 1988623400 is about 1257.5275695610.

The spelling of 1988623400 in words is "one billion, nine hundred eighty-eight million, six hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1912 2390 4780 5975 9560 11950 23900 41603 47800 83206 166412 208015 332824 416030 832060 1040075 1664120 2080150 4160300 8320600 9943117 19886234 39772468 49715585 79544936 99431170 198862340 248577925 397724680 497155850 994311700 1988623400