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2050422528 = 28371134673
BaseRepresentation
bin111101000110110…
…1111011100000000
312021220020020221010
41322031233130000
513144402010103
6535243400520
7101545206150
oct17215573400
95256206833
102050422528
11962456880
12492823140
13268a4cb8b
14156462760
15c0022903
hex7a36f700

2050422528 has 144 divisors (see below), whose sum is σ = 6803870976. Its totient is φ = 532561920.

The previous prime is 2050422527. The next prime is 2050422533. The reversal of 2050422528 is 8252240502.

It is a junction number, because it is equal to n+sod(n) for n = 2050422495 and 2050422504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050422523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41800 + ... + 76472.

It is an arithmetic number, because the mean of its divisors is an integer number (47249104).

Almost surely, 22050422528 is an apocalyptic number.

2050422528 is a gapful number since it is divisible by the number (28) 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 2050422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401935488).

2050422528 is an abundant number, since it is smaller than the sum of its proper divisors (4753448448).

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

2050422528 is a wasteful number, since it uses less digits than its factorization.

2050422528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34710 (or 34696 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2050422528 is about 45281.5914914659. The cubic root of 2050422528 is about 1270.4213634799.

The spelling of 2050422528 in words is "two billion, fifty million, four hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 34673 59136 69346 104019 138692 208038 242711 277384 381403 416076 485422 554768 728133 762806 832152 970844 1109536 1144209 1456266 1525612 1664304 1941688 2219072 2288418 2669821 2912532 3051224 3328608 3883376 4438144 4576836 5339642 5825064 6102448 6657216 7766752 8009463 8876288 9153672 10679284 11650128 12204896 13314432 15533504 16018926 18307344 21358568 23300256 24409792 26628864 31067008 32037852 36614688 42717136 46600512 48819584 62134016 64075704 73229376 85434272 93201024 97639168 128151408 146458752 170868544 186402048 256302816 292917504 341737088 512605632 683474176 1025211264 2050422528