Search a number
-
+
2046952992 = 253719160319
BaseRepresentation
bin111101000000010…
…0000011000100000
312021122200222121210
41322000200120200
513143004443432
6535041150120
7101503545660
oct17200403040
95248628553
102046952992
119604a7097
1249162b340
132681068b6
14155bdc1a0
15bea898cc
hex7a020620

2046952992 has 96 divisors (see below), whose sum is σ = 6464102400. Its totient is φ = 554059008.

The previous prime is 2046952939. The next prime is 2046952993. The reversal of 2046952992 is 2992596402.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2046952993) 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, 67392 + ... + 92927.

It is an arithmetic number, because the mean of its divisors is an integer number (67334400).

Almost surely, 22046952992 is an apocalyptic number.

It is an amenable number.

2046952992 is an abundant number, since it is smaller than the sum of its proper divisors (4417149408).

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

2046952992 is a wasteful number, since it uses less digits than its factorization.

2046952992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160358 (or 160350 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 2046952992 is about 45243.2646036954. The cubic root of 2046952992 is about 1269.7043956229.

The spelling of 2046952992 in words is "two billion, forty-six million, nine hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 160319 320638 480957 641276 961914 1122233 1282552 1923828 2244466 2565104 3046061 3366699 3847656 4488932 5130208 6092122 6733398 7695312 8977864 9138183 12184244 13466796 15390624 17955728 18276366 21322427 24368488 26933592 35911456 36552732 42644854 48736976 53867184 63967281 73105464 85289708 97473952 107734368 127934562 146210928 170579416 255869124 292421856 341158832 511738248 682317664 1023476496 2046952992