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5234957504 = 267232917519
BaseRepresentation
bin1001110000000011…
…10001110011000000
3111111211111101122222
410320001301303000
541210122120004
62223243150212
7243504255530
oct47001616300
914454441588
105234957504
112246aa7067
121021215368
136557354ba
143793834c0
152098b87be
hex138071cc0

5234957504 has 112 divisors (see below), whose sum is σ = 12816230400. Its totient is φ = 2071888896.

The previous prime is 5234957473. The next prime is 5234957561. The reversal of 5234957504 is 4057594325.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290057 + ... + 307575.

Almost surely, 25234957504 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 5234957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408115200).

5234957504 is an abundant number, since it is smaller than the sum of its proper divisors (7581272896).

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

5234957504 is a wasteful number, since it uses less digits than its factorization.

5234957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590 (or 17580 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The square root of 5234957504 is about 72353.0061849541. The cubic root of 5234957504 is about 1736.3517943215.

The spelling of 5234957504 in words is "five billion, two hundred thirty-four million, nine hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 161 184 203 224 232 322 368 406 448 464 644 667 736 812 928 1288 1334 1472 1624 1856 2576 2668 3248 4669 5152 5336 6496 9338 10304 10672 12992 17519 18676 21344 35038 37352 42688 70076 74704 122633 140152 149408 245266 280304 298816 402937 490532 508051 560608 805874 981064 1016102 1121216 1611748 1962128 2032204 2820559 3223496 3556357 3924256 4064408 5641118 6446992 7112714 7848512 8128816 11282236 11685173 12893984 14225428 16257632 22564472 23370346 25787968 28450856 32515264 45128944 46740692 56901712 81796211 90257888 93481384 113803424 163592422 180515776 186962768 227606848 327184844 373925536 654369688 747851072 1308739376 2617478752 5234957504