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1242058576 = 241119616089
BaseRepresentation
bin100101000001000…
…0100111101010000
310012120011010001111
41022002010331100
510020431333301
6323125343104
742531216013
oct11202047520
93176133044
101242058576
11588122aa0
122a7b67a94
1316a42c005
14bad5b37a
1574097551
hex4a084f50

1242058576 has 80 divisors (see below), whose sum is σ = 2809195200. Its totient is φ = 526003200.

The previous prime is 1242058561. The next prime is 1242058583. The reversal of 1242058576 is 6758502421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200940 + ... + 207028.

It is an arithmetic number, because the mean of its divisors is an integer number (35114940).

Almost surely, 21242058576 is an apocalyptic number.

1242058576 is a gapful number since it is divisible by the number (16) 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 1242058576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404597600).

1242058576 is an abundant number, since it is smaller than the sum of its proper divisors (1567136624).

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

1242058576 is a wasteful number, since it uses less digits than its factorization.

1242058576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1242058576 is about 35242.8514169895. The cubic root of 1242058576 is about 1074.9312596391.

The spelling of 1242058576 in words is "one billion, two hundred forty-two million, fifty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 61 76 88 122 152 176 209 244 304 418 488 671 836 976 1159 1342 1672 2318 2684 3344 4636 5368 6089 9272 10736 12178 12749 18544 24356 25498 48712 50996 66979 97424 101992 115691 133958 203984 231382 267916 371429 462764 535832 742858 925528 1071664 1272601 1485716 1851056 2545202 2971432 4085719 5090404 5942864 7057151 8171438 10180808 14114302 16342876 20361616 28228604 32685752 56457208 65371504 77628661 112914416 155257322 310514644 621029288 1242058576