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2539469952 = 273213915859
BaseRepresentation
bin1001011101011101…
…0011110010000000
320112222110102212200
42113113103302000
520200101014302
61055553353200
7116634065325
oct22727236200
96488412780
102539469952
1110935123a8
125aa568800
1331616b956
141a13a6b4c
15ece2581c
hex975d3c80

2539469952 has 96 divisors (see below), whose sum is σ = 7360626000. Its totient is φ = 840347136.

The previous prime is 2539469869. The next prime is 2539469953. The reversal of 2539469952 is 2599649352.

It is a happy number.

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

It is a super-2 number, since 2×25394699522 = 12897815274221764608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2539469953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152199 + ... + 168057.

Almost surely, 22539469952 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 2539469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680313000).

2539469952 is an abundant number, since it is smaller than the sum of its proper divisors (4821156048).

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

2539469952 is a wasteful number, since it uses less digits than its factorization.

2539469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16018 (or 16003 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 2539469952 is about 50393.1538207324. The cubic root of 2539469952 is about 1364.3140747274.

The spelling of 2539469952 in words is "two billion, five hundred thirty-nine million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1112 1152 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 15859 17792 20016 26688 31718 40032 47577 53376 63436 80064 95154 126872 142731 160128 190308 253744 285462 380616 507488 570924 761232 1014976 1141848 1522464 2029952 2204401 2283696 3044928 4408802 4567392 6089856 6613203 8817604 9134784 13226406 17635208 18269568 19839609 26452812 35270416 39679218 52905624 70540832 79358436 105811248 141081664 158716872 211622496 282163328 317433744 423244992 634867488 846489984 1269734976 2539469952