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2049058752 = 26313263149
BaseRepresentation
bin111101000100010…
…0010011111000000
312021210122222011220
41322020202133000
513144024340002
6535154235040
7101530466136
oct17210423700
95253588156
102049058752
11961705194
12492285a80
13268693200
141561c9756
15bed537bc
hex7a2227c0

2049058752 has 84 divisors (see below), whose sum is σ = 5870676600. Its totient is φ = 630469632.

The previous prime is 2049058717. The next prime is 2049058867. The reversal of 2049058752 is 2578509402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 874 + ... + 64022.

Almost surely, 22049058752 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 2049058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935338300).

2049058752 is an abundant number, since it is smaller than the sum of its proper divisors (3821617848).

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

2049058752 is a wasteful number, since it uses less digits than its factorization.

2049058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63190 (or 63167 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2049058752 is about 45266.5301519787. The cubic root of 2049058752 is about 1270.1396403382.

The spelling of 2049058752 in words is "two billion, forty-nine million, fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 63149 126298 189447 252596 378894 505192 757788 820937 1010384 1515576 1641874 2020768 2462811 3031152 3283748 4041536 4925622 6062304 6567496 9851244 10672181 12124608 13134992 19702488 21344362 26269984 32016543 39404976 42688724 52539968 64033086 78809952 85377448 128066172 157619904 170754896 256132344 341509792 512264688 683019584 1024529376 2049058752