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2090003472 = 24346126437
BaseRepresentation
bin111110010010010…
…1110110000010000
312101122201011210000
41330210232300100
513240020102342
6543220010000
7102535510404
oct17444566020
95348634700
102090003472
119828305a7
124a3b30900
13273ccaa5b
1415b807104
15c374044c
hex7c92ec10

2090003472 has 100 divisors (see below), whose sum is σ = 6148474156. Its totient is φ = 685221120.

The previous prime is 2090003471. The next prime is 2090003479. The reversal of 2090003472 is 2743000902.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 1293409296 = 28224^2 + 35964^2 .

It is a super-2 number, since 2×20900034722 = 8736229025944109568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2090003471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65838 + ... + 92274.

Almost surely, 22090003472 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 2090003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074237078).

2090003472 is an abundant number, since it is smaller than the sum of its proper divisors (4058470684).

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

2090003472 is a wasteful number, since it uses less digits than its factorization.

2090003472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26518 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2090003472 is about 45716.5557757800. Note that the first 3 decimals coincide. The cubic root of 2090003472 is about 1278.5439726209.

The spelling of 2090003472 in words is "two billion, ninety million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 26437 39528 52874 79056 79311 105748 158622 211496 237933 317244 422992 475866 634488 713799 951732 1268976 1427598 1612657 1903464 2141397 2855196 3225314 3806928 4282794 4837971 5710392 6450628 8565588 9675942 11420784 12901256 14513913 17131176 19351884 25802512 29027826 34262352 38703768 43541739 58055652 77407536 87083478 116111304 130625217 174166956 232222608 261250434 348333912 522500868 696667824 1045001736 2090003472