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2469086420 = 2254122712
BaseRepresentation
bin1001001100101011…
…0100010011010100
320101002000120211012
42103022310103110
520024041231140
61045001031352
7115120613453
oct22312642324
96332016735
102469086420
11105780a199
1258aa85558
133046c76a8
14195cc4b9a
15e6b71265
hex932b44d4

2469086420 has 54 divisors (see below), whose sum is σ = 5334314958. Its totient is φ = 959990400.

The previous prime is 2469086401. The next prime is 2469086467. The reversal of 2469086420 is 246809642.

It can be written as a sum of positive squares in 3 ways, for example, as 142181776 + 2326904644 = 11924^2 + 48238^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9110885 + ... + 9111155.

Almost surely, 22469086420 is an apocalyptic number.

2469086420 is a gapful number since it is divisible by the number (20) 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 2469086420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667157479).

2469086420 is an abundant number, since it is smaller than the sum of its proper divisors (2865228538).

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

2469086420 is an equidigital number, since it uses as much as digits as its factorization.

2469086420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 2469086420 is about 49689.9025960003. The cubic root of 2469086420 is about 1351.5914327761.

The spelling of 2469086420 in words is "two billion, four hundred sixty-nine million, eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 1681 2710 3362 5420 6724 8405 11111 16810 22222 33620 44444 55555 73441 111110 146882 222220 293764 367205 455551 734410 911102 1468820 1822204 2277755 3011081 4555510 6022162 9111020 12044324 15055405 30110810 60221620 123454321 246908642 493817284 617271605 1234543210 2469086420