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2457000208 = 2413172330211
BaseRepresentation
bin1001001001110010…
…1101100100010000
320100020021112122201
42102130231210100
520012443001313
61043450012544
7114613104625
oct22234554420
96306245581
102457000208
111050a04693
12586a17154
133020553a0
1419445a34c
15e5a850dd
hex9272d910

2457000208 has 80 divisors (see below), whose sum is σ = 5664387456. Its totient is φ = 1020856320.

The previous prime is 2457000197. The next prime is 2457000209. The reversal of 2457000208 is 8020007542.

It is a super-2 number, since 2×24570002082 = 12073700044224086528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2457000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66223 + ... + 96433.

Almost surely, 22457000208 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 2457000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832193728).

2457000208 is an abundant number, since it is smaller than the sum of its proper divisors (3207387248).

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

2457000208 is a wasteful number, since it uses less digits than its factorization.

2457000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30272 (or 30266 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2457000208 is about 49568.1370236970. The cubic root of 2457000208 is about 1349.3824716604.

The spelling of 2457000208 in words is "two billion, four hundred fifty-seven million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 184 208 221 272 299 368 391 442 598 782 884 1196 1564 1768 2392 3128 3536 4784 5083 6256 10166 20332 30211 40664 60422 81328 120844 241688 392743 483376 513587 694853 785486 1027174 1389706 1570972 2054348 2779412 3141944 4108696 5558824 6283888 6676631 8217392 9033089 11117648 11812501 13353262 18066178 23625002 26706524 36132356 47250004 53413048 72264712 94500008 106826096 144529424 153562513 189000016 307125026 614250052 1228500104 2457000208