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38930052249 = 3411219932
BaseRepresentation
bin100100010000011010…
…010111010010011001
310201111002202120010000
4210100122113102121
51114212043132444
625514554043213
72545502661414
oct442032272231
9121432676100
1038930052249
1115567aaa500
127665719509
1338954c459a
141c54452b7b
15102cada469
hex910697499

38930052249 has 45 divisors (see below), whose sum is σ = 63954273999. Its totient is φ = 23582132640.

The previous prime is 38930052199. The next prime is 38930052253. The reversal of 38930052249 is 94225003983.

It is a happy number.

The square root of 38930052249 is 197307.

It is a perfect power (a square), and thus also a powerful number.

38930052249 is a `hidden beast` number, since 3 + 89 + 3 + 0 + 0 + 522 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28491752025 + 10438300224 = 168795^2 + 102168^2 .

It is not a de Polignac number, because 38930052249 - 213 = 38930044057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38930052269) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19532397 + ... + 19534389.

Almost surely, 238930052249 is an apocalyptic number.

38930052249 is the 197307-th square number.

38930052249 is the 98654-th centered octagonal number.

It is an amenable number.

38930052249 is a deficient number, since it is larger than the sum of its proper divisors (25024221750).

38930052249 is an frugal number, since it uses more digits than its factorization.

38930052249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38930052249 in words is "thirty-eight billion, nine hundred thirty million, fifty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1993 3267 5979 9801 17937 21923 53811 65769 161433 197307 241153 591921 723459 1775763 2170377 3972049 6511131 11916147 19533393 35748441 43692539 107245323 131077617 321735969 393232851 480617929 1179698553 1441853787 3539095659 4325561361 12976684083 38930052249