Search a number
-
+
1998561152 = 27713117027
BaseRepresentation
bin111011100011111…
…1001111110000000
312011021122102111102
41313013321332000
513043112424102
6530152033532
7100345326620
oct16707717600
95137572442
101998561152
11936154635
124793928a8
1325b092483
1414d602880
15ba6cb402
hex771f9f80

1998561152 has 64 divisors (see below), whose sum is σ = 4585299840. Its totient is φ = 849937920.

The previous prime is 1998561139. The next prime is 1998561163. The reversal of 1998561152 is 2511658991.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1998561097 and 1998561106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108863 + ... + 125889.

It is an arithmetic number, because the mean of its divisors is an integer number (71645310).

Almost surely, 21998561152 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 1998561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292649920).

1998561152 is an abundant number, since it is smaller than the sum of its proper divisors (2586738688).

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

1998561152 is a wasteful number, since it uses less digits than its factorization.

1998561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17167 counting only the distinct ones).

The product of its digits is 194400, while the sum is 47.

The square root of 1998561152 is about 44705.2698459589. The cubic root of 1998561152 is about 1259.6188382634.

The spelling of 1998561152 in words is "one billion, nine hundred ninety-eight million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 896 917 1048 1834 2096 3668 4192 7336 8384 14672 16768 17027 29344 34054 58688 68108 117376 119189 136216 238378 272432 476756 544864 953512 1089728 1907024 2179456 2230537 3814048 4461074 7628096 8922148 15256192 15613759 17844296 31227518 35688592 62455036 71377184 124910072 142754368 249820144 285508736 499640288 999280576 1998561152