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2052912384 = 28331717471
BaseRepresentation
bin111101001011100…
…1111010100000000
312022001220202101000
41322113033110000
513201021144014
6535413012000
7101605316205
oct17227172400
95261822330
102052912384
119638a7506
12493624000
13269412273
1415690dcac
15c0365509
hex7a5cf500

2052912384 has 144 divisors (see below), whose sum is σ = 6428298240. Its totient is φ = 644014080.

The previous prime is 2052912383. The next prime is 2052912391. The reversal of 2052912384 is 4832192502.

It is a happy number.

2052912384 is a `hidden beast` number, since 2 + 0 + 529 + 123 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052912383) 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, 108769 + ... + 126239.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 22052912384 is an apocalyptic number.

2052912384 is a gapful number since it is divisible by the number (24) 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 2052912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

2052912384 is an abundant number, since it is smaller than the sum of its proper divisors (4375385856).

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

2052912384 is a wasteful number, since it uses less digits than its factorization.

2052912384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17513 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2052912384 is about 45309.0761768545. The cubic root of 2052912384 is about 1270.9353854625.

The spelling of 2052912384 in words is "two billion, fifty-two million, nine hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 17471 19584 29376 34942 39168 52413 58752 69884 104826 117504 139768 157239 209652 279536 297007 314478 419304 471717 559072 594014 628956 838608 891021 943434 1118144 1188028 1257912 1677216 1782042 1886868 2236288 2376056 2515824 2673063 3354432 3564084 3773736 4472576 4752112 5031648 5346126 6708864 7128168 7547472 8019189 9504224 10063296 10692252 13417728 14256336 15094944 16038378 19008448 20126592 21384504 28512672 30189888 32076756 38016896 40253184 42769008 57025344 60379776 64153512 76033792 85538016 114050688 120759552 128307024 171076032 228101376 256614048 342152064 513228096 684304128 1026456192 2052912384