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2530672408 = 2311253107461
BaseRepresentation
bin1001011011010110…
…1111111100011000
320112100220110220201
42112311233330120
520140323004113
61055041031544
7116466234445
oct22665577430
96470813821
102530672408
111089553700
125a76255b4
133143ab4c4
141a01569cc
15ec288cdd
hex96d6ff18

2530672408 has 96 divisors (see below), whose sum is σ = 5375296080. Its totient is φ = 1115628800.

The previous prime is 2530672381. The next prime is 2530672423. The reversal of 2530672408 is 8042760352.

It is a super-2 number, since 2×25306724082 = 12808605673225036928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5489298 + ... + 5489758.

Almost surely, 22530672408 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 2530672408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687648040).

2530672408 is an abundant number, since it is smaller than the sum of its proper divisors (2844623672).

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

2530672408 is a wasteful number, since it uses less digits than its factorization.

2530672408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2530672408 is about 50305.7890108087. The cubic root of 2530672408 is about 1362.7367770529.

The spelling of 2530672408 in words is "two billion, five hundred thirty million, six hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 53 88 106 107 121 212 214 242 424 428 461 484 583 856 922 968 1166 1177 1844 2332 2354 3688 4664 4708 5071 5671 6413 9416 10142 11342 12826 12947 20284 22684 24433 25652 25894 40568 45368 48866 49327 51304 51788 55781 62381 97732 98654 103576 111562 124762 195464 197308 223124 249524 268763 394616 446248 499048 537526 542597 686191 1075052 1085194 1372382 2150104 2170388 2614331 2744764 2956393 4340776 5228662 5489528 5912786 5968567 10457324 11825572 11937134 20914648 23651144 23874268 28757641 47748536 57515282 115030564 230061128 316334051 632668102 1265336204 2530672408