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5252000208 = 2437133173793
BaseRepresentation
bin1001110010000101…
…10010100111010000
3111120000120020212020
410321002302213100
541224003001313
62225052331440
7244102156650
oct47102624720
914500506766
105252000208
112255687544
121026a73b80
13659121840
1437b73c360
1520b133323
hex1390b29d0

5252000208 has 160 divisors (see below), whose sum is σ = 16755760896. Its totient is φ = 1380409344.

The previous prime is 5252000203. The next prime is 5252000249. The reversal of 5252000208 is 8020002525.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252000203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382760 + ... + 1386552.

Almost surely, 25252000208 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 5252000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377880448).

5252000208 is an abundant number, since it is smaller than the sum of its proper divisors (11503760688).

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

5252000208 is a wasteful number, since it uses less digits than its factorization.

5252000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5252000208 is about 72470.6851630368. The cubic root of 5252000208 is about 1738.2340174752.

The spelling of 5252000208 in words is "five billion, two hundred fifty-two million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 317 336 364 546 624 634 728 951 1092 1268 1456 1902 2184 2219 2536 3793 3804 4121 4368 4438 5072 6657 7586 7608 8242 8876 11379 12363 13314 15172 15216 16484 17752 22758 24726 26551 26628 28847 30344 32968 35504 45516 49309 49452 53102 53256 57694 60688 65936 79653 86541 91032 98618 98904 106204 106512 115388 147927 159306 173082 182064 197236 197808 212408 230776 295854 318612 345163 346164 394472 424816 461552 591708 637224 690326 692328 788944 1035489 1183416 1202381 1274448 1380652 1384656 2070978 2366832 2404762 2761304 3607143 4141956 4809524 5522608 7214286 8283912 8416667 9619048 14428572 15630953 16567824 16833334 19238096 25250001 28857144 31261906 33666668 46892859 50500002 57714288 62523812 67333336 93785718 101000004 109416671 125047624 134666672 187571436 202000008 218833342 250095248 328250013 375142872 404000016 437666684 656500026 750285744 875333368 1313000052 1750666736 2626000104 5252000208