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2539691952 = 243721517151
BaseRepresentation
bin1001011101100000…
…1001111110110000
320112222212201101220
42113120021332300
520200130120302
61100002225040
7116636011500
oct22730117660
96488781356
102539691952
111093654176
125aa655180
13316218a05
141a1423a00
15ece6b4bc
hex97609fb0

2539691952 has 120 divisors (see below), whose sum is σ = 7683651072. Its totient is φ = 720720000.

The previous prime is 2539691933. The next prime is 2539691969. The reversal of 2539691952 is 2591969352.

2539691952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25396919522 = 12900070422107140608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2539691895 and 2539691904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351577 + ... + 358727.

Almost surely, 22539691952 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 2539691952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841825536).

2539691952 is an abundant number, since it is smaller than the sum of its proper divisors (5143959120).

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

2539691952 is a wasteful number, since it uses less digits than its factorization.

2539691952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7314 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 51.

The square root of 2539691952 is about 50395.3564527527. The cubic root of 2539691952 is about 1364.3538295982.

The spelling of 2539691952 in words is "two billion, five hundred thirty-nine million, six hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 151 168 196 294 302 336 392 453 588 604 784 906 1057 1176 1208 1812 2114 2352 2416 3171 3624 4228 6342 7151 7248 7399 8456 12684 14302 14798 16912 21453 22197 25368 28604 29596 42906 44394 50057 50736 57208 59192 85812 88788 100114 114416 118384 150171 171624 177576 200228 300342 343248 350399 355152 400456 600684 700798 800912 1051197 1079801 1201368 1401596 2102394 2159602 2402736 2803192 3239403 4204788 4319204 5606384 6478806 7558607 8409576 8638408 12957612 15117214 16819152 17276816 22675821 25915224 30234428 45351642 51830448 52910249 60468856 90703284 105820498 120937712 158730747 181406568 211640996 317461494 362813136 423281992 634922988 846563984 1269845976 2539691952