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2088431772 = 2237712411453
BaseRepresentation
bin111110001111010…
…1111000010011100
312101112202022210220
41330132233002130
513234114304042
6543122201340
7102516243240
oct17436570234
95345668726
102088431772
11981957779
124a34b3250
1327389a55b
1415b518420
15c352e8ec
hex7c7af09c

2088431772 has 96 divisors (see below), whose sum is σ = 5674927104. Its totient is φ = 585446400.

The previous prime is 2088431753. The next prime is 2088431773. The reversal of 2088431772 is 2771348802.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088431773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436598 + ... + 1438050.

It is an arithmetic number, because the mean of its divisors is an integer number (59113824).

Almost surely, 22088431772 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 2088431772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837463552).

2088431772 is an abundant number, since it is smaller than the sum of its proper divisors (3586495332).

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

2088431772 is a wasteful number, since it uses less digits than its factorization.

2088431772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2088431772 is about 45699.3629277258. The cubic root of 2088431772 is about 1278.2234003481.

The spelling of 2088431772 in words is "two billion, eighty-eight million, four hundred thirty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 241 284 426 482 497 723 852 964 994 1446 1453 1491 1687 1988 2892 2906 2982 3374 4359 5061 5812 5964 6748 8718 10122 10171 17111 17436 20244 20342 30513 34222 40684 51333 61026 68444 102666 103163 119777 122052 205332 206326 239554 309489 350173 359331 412652 479108 618978 700346 718662 722141 1050519 1237956 1400692 1437324 1444282 2101038 2166423 2451211 2888564 4202076 4332846 4902422 7353633 8665692 9804844 14707266 24862283 29414532 49724566 74586849 99449132 149173698 174035981 298347396 348071962 522107943 696143924 1044215886 2088431772