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5752409250 = 235372347639
BaseRepresentation
bin1010101101101111…
…01100110010100010
3112211220011200000110
411112313230302202
543240104044000
62350450032150
7262356446310
oct52667546242
915756150013
105752409250
1124920a3235
121146578656
137089bab73
143c7d9d0b0
1523a02c850
hex156decca2

5752409250 has 128 divisors (see below), whose sum is σ = 17122959360. Its totient is φ = 1257643200.

The previous prime is 5752409209. The next prime is 5752409261. The reversal of 5752409250 is 529042575.

It is a junction number, because it is equal to n+sod(n) for n = 5752409199 and 5752409208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96931 + ... + 144569.

It is an arithmetic number, because the mean of its divisors is an integer number (133773120).

Almost surely, 25752409250 is an apocalyptic number.

5752409250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5752409250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561479680).

5752409250 is an abundant number, since it is smaller than the sum of its proper divisors (11370550110).

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

5752409250 is a wasteful number, since it uses less digits than its factorization.

5752409250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47689 (or 47679 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5752409250 is about 75844.6389008478. The cubic root of 5752409250 is about 1791.7741167456.

The spelling of 5752409250 in words is "five billion, seven hundred fifty-two million, four hundred nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 125 138 150 161 175 210 230 250 322 345 350 375 483 525 575 690 750 805 875 966 1050 1150 1610 1725 1750 2415 2625 2875 3450 4025 4830 5250 5750 8050 8625 12075 17250 20125 24150 40250 47639 60375 95278 120750 142917 238195 285834 333473 476390 666946 714585 1000419 1095697 1190975 1429170 1667365 2000838 2191394 2381950 3287091 3334730 3572925 5002095 5478485 5954875 6574182 7145850 7669879 8336825 10004190 10956970 11909750 15339758 16435455 16673650 17864625 23009637 25010475 27392425 32870910 35729250 38349395 41684125 46019274 50020950 54784850 76698790 82177275 83368250 115048185 125052375 136962125 164354550 191746975 230096370 250104750 273924250 383493950 410886375 575240925 821772750 958734875 1150481850 1917469750 2876204625 5752409250