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2425823036 = 22713311791201
BaseRepresentation
bin1001000010010111…
…0001111100111100
320021001121120121122
42100211301330330
514432002314121
61040413450112
7114054104240
oct22045617474
96231546548
102425823036
11103534a82a
125784a0938
132c875a660
14190262420
15e2e775ab
hex90971f3c

2425823036 has 96 divisors (see below), whose sum is σ = 5428039680. Its totient is φ = 922752000.

The previous prime is 2425823033. The next prime is 2425823039. The reversal of 2425823036 is 6303285242.

2425823036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2425823033) and next prime (2425823039).

It is a junction number, because it is equal to n+sod(n) for n = 2425822987 and 2425823005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425823033) 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, 2019236 + ... + 2020436.

It is an arithmetic number, because the mean of its divisors is an integer number (56542080).

Almost surely, 22425823036 is an apocalyptic number.

2425823036 is a gapful number since it is divisible by the number (26) 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 2425823036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714019840).

2425823036 is an abundant number, since it is smaller than the sum of its proper divisors (3002216644).

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

2425823036 is a wasteful number, since it uses less digits than its factorization.

2425823036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2425823036 is about 49252.6449645093. The cubic root of 2425823036 is about 1343.6506666907.

The spelling of 2425823036 in words is "two billion, four hundred twenty-five million, eight hundred twenty-three thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 179 182 217 358 364 403 434 716 806 868 1201 1253 1612 2327 2402 2506 2821 4654 4804 5012 5549 5642 8407 9308 11098 11284 15613 16289 16814 22196 31226 32578 33628 37231 38843 62452 65156 72137 74462 77686 109291 144274 148924 155372 214979 218582 260617 288548 429958 437164 484003 504959 521234 859916 968006 1009918 1042468 1504853 1936012 2019836 2794727 3009706 3388021 5589454 6019412 6664349 6776042 11178908 13328698 13552084 19563089 26657396 39126178 46650443 78252356 86636537 93300886 173273074 186601772 346546148 606455759 1212911518 2425823036