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2090884152 = 233779257613
BaseRepresentation
bin111110010100000…
…0101110000111000
312101201100220211210
41330220011300320
513240231243102
6543250523120
7102546136110
oct17450056070
95351326753
102090884152
11983282235
124a42964a0
13274248876
1415b996040
15c386636c
hex7ca05c38

2090884152 has 128 divisors (see below), whose sum is σ = 6083020800. Its totient is φ = 586579968.

The previous prime is 2090884151. The next prime is 2090884193. The reversal of 2090884152 is 2514880902.

It is a self number, because there is not a number n which added to its sum of digits gives 2090884152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090884151) 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, 3410598 + ... + 3411210.

It is an arithmetic number, because the mean of its divisors is an integer number (47523600).

Almost surely, 22090884152 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 2090884152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041510400).

2090884152 is an abundant number, since it is smaller than the sum of its proper divisors (3992136648).

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

2090884152 is a wasteful number, since it uses less digits than its factorization.

2090884152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2090884152 is about 45726.1867205215. The cubic root of 2090884152 is about 1278.7235305344.

The spelling of 2090884152 in words is "two billion, ninety million, eight hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 257 316 474 514 553 613 632 771 948 1028 1106 1226 1542 1659 1799 1839 1896 2056 2212 2452 3084 3318 3598 3678 4291 4424 4904 5397 6168 6636 7196 7356 8582 10794 12873 13272 14392 14712 17164 20303 21588 25746 34328 40606 43176 48427 51492 60909 81212 96854 102984 121818 142121 145281 157541 162424 193708 243636 284242 290562 315082 338989 387416 426363 472623 487272 568484 581124 630164 677978 852726 945246 1016967 1102787 1136968 1162248 1260328 1355956 1705452 1890492 2033934 2205574 2711912 3308361 3410904 3780984 4067868 4411148 6616722 8135736 8822296 12445739 13233444 24891478 26466888 37337217 49782956 74674434 87120173 99565912 149348868 174240346 261360519 298697736 348480692 522721038 696961384 1045442076 2090884152