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2052849792 = 2737898581
BaseRepresentation
bin111101001011100…
…0000000010000000
312022001210120111210
41322113000002000
513201012143132
6535411410120
7101604635550
oct17227000200
95261716453
102052849792
11963864484
124935b3940
132693bc926
141568d5160
15c0351bcc
hex7a5c0080

2052849792 has 128 divisors (see below), whose sum is σ = 6302620800. Its totient is φ = 579870720.

The previous prime is 2052849781. The next prime is 2052849793. The reversal of 2052849792 is 2979482502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2052849793) 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, 234942 + ... + 243522.

It is an arithmetic number, because the mean of its divisors is an integer number (49239225).

Almost surely, 22052849792 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 2052849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151310400).

2052849792 is an abundant number, since it is smaller than the sum of its proper divisors (4249771008).

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

2052849792 is an equidigital number, since it uses as much as digits as its factorization.

2052849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2052849792 is about 45308.3854490535. The cubic root of 2052849792 is about 1270.9224686593.

The spelling of 2052849792 in words is "two billion, fifty-two million, eight hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 267 336 356 384 448 534 623 672 712 896 1068 1246 1344 1424 1869 2136 2492 2688 2848 3738 4272 4984 5696 7476 8544 8581 9968 11392 14952 17088 17162 19936 25743 29904 34176 34324 39872 51486 59808 60067 68648 79744 102972 119616 120134 137296 180201 205944 239232 240268 274592 360402 411888 480536 549184 720804 763709 823776 961072 1098368 1441608 1527418 1647552 1922144 2291127 2883216 3054836 3295104 3844288 4582254 5345963 5766432 6109672 7688576 9164508 10691926 11532864 12219344 16037889 18329016 21383852 23065728 24438688 32075778 36658032 42767704 48877376 64151556 73316064 85535408 97754752 128303112 146632128 171070816 256606224 293264256 342141632 513212448 684283264 1026424896 2052849792