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5007497628 = 22371729120919
BaseRepresentation
bin1001010100111100…
…00101100110011100
3110220222111020101010
410222132011212130
540223404411003
62144520015220
7235043012310
oct45236054634
913828436333
105007497628
11213a6690a1
12b79001510
1361a585463
14357093b40
151e4938003
hex12a78599c

5007497628 has 96 divisors (see below), whose sum is σ = 14626483200. Its totient is φ = 1300110336.

The previous prime is 5007497609. The next prime is 5007497659. The reversal of 5007497628 is 8267947005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19048 + ... + 101871.

It is an arithmetic number, because the mean of its divisors is an integer number (152359200).

Almost surely, 25007497628 is an apocalyptic number.

5007497628 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007497628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313241600).

5007497628 is an abundant number, since it is smaller than the sum of its proper divisors (9618985572).

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

5007497628 is a wasteful number, since it uses less digits than its factorization.

5007497628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120979 (or 120977 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5007497628 is about 70763.6744947575. The cubic root of 5007497628 is about 1710.8302373778.

It can be divided in two parts, 500 and 7497628, that added together give a triangular number (7498128 = T3872).

The spelling of 5007497628 in words is "five billion, seven million, four hundred ninety-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13804 20706 41412 120919 241838 362757 483676 725514 846433 1451028 1692866 2055623 2539299 3385732 3506651 4111246 5078598 6166869 7013302 8222492 10157196 10519953 12333738 14026604 14389361 21039906 24546557 24667476 28778722 42079812 43168083 49093114 57557444 59613067 73639671 86336166 98186228 119226134 147279342 172672332 178839201 238452268 294558684 357678402 417291469 715356804 834582938 1251874407 1669165876 2503748814 5007497628