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5250907504 = 24172943113137
BaseRepresentation
bin1001110001111101…
…00111110101110000
3111112221111201221201
410320332213311300
541223213020004
62225013100544
7244056656143
oct47076476560
914487451851
105250907504
112255000587
121026627754
13658b2b37b
1437b53605a
1520aeb96a4
hex138fa7d70

5250907504 has 160 divisors (see below), whose sum is σ = 11587561920. Its totient is φ = 2292842496.

The previous prime is 5250907471. The next prime is 5250907513. The reversal of 5250907504 is 4057090525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38327724 + ... + 38327860.

It is an arithmetic number, because the mean of its divisors is an integer number (72422262).

Almost surely, 25250907504 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 5250907504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793780960).

5250907504 is an abundant number, since it is smaller than the sum of its proper divisors (6336654416).

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

5250907504 is a wasteful number, since it uses less digits than its factorization.

5250907504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 5250907504 is about 72463.1458328991. The cubic root of 5250907504 is about 1738.1134597874.

The spelling of 5250907504 in words is "five billion, two hundred fifty million, nine hundred seven thousand, five hundred four".

Divisors: 1 2 4 8 16 17 29 34 43 58 68 86 113 116 136 137 172 226 232 272 274 344 452 464 493 548 688 731 904 986 1096 1247 1462 1808 1921 1972 2192 2329 2494 2924 3277 3842 3944 3973 4658 4859 4988 5848 5891 6554 7684 7888 7946 9316 9718 9976 11696 11782 13108 15368 15481 15892 18632 19436 19952 21199 23564 26216 30736 30962 31784 37264 38872 42398 47128 52432 55709 61924 63568 67541 77744 82603 84796 94256 100147 111418 123848 135082 140911 165206 169592 170839 200294 222836 247696 263177 270164 281822 330412 339184 341678 400588 445672 448949 526354 540328 563644 660824 665683 683356 801176 891344 897898 1052708 1080656 1127288 1321648 1331366 1366712 1602352 1795796 2105416 2254576 2395487 2662732 2733424 2904263 3591592 4210832 4790974 5325464 5808526 7183184 7632133 9581948 10650928 11316611 11617052 15264266 19163896 19304807 22633222 23234104 30528532 38327792 38609614 45266444 46468208 61057064 77219228 90532888 122114128 154438456 181065776 308876912 328181719 656363438 1312726876 2625453752 5250907504