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557123040 = 25325386891
BaseRepresentation
bin100001001101010…
…000010111100000
31102211022210010200
4201031100113200
52120110414130
6131141025200
716543316265
oct4115202740
91384283120
10557123040
11266532871
121366b5200
138b565706
1453dc526c
1533d9d760
hex213505e0

557123040 has 72 divisors (see below), whose sum is σ = 1901187288. Its totient is φ = 148565760.

The previous prime is 557123029. The next prime is 557123051. The reversal of 557123040 is 40321755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (557123029) and next prime (557123051).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 557122995 and 557123013.

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 11 ways as a sum of consecutive naturals, for example, 192006 + ... + 194885.

It is an arithmetic number, because the mean of its divisors is an integer number (26405379).

Almost surely, 2557123040 is an apocalyptic number.

It is an amenable number.

557123040 is an abundant number, since it is smaller than the sum of its proper divisors (1344064248).

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

557123040 is a wasteful number, since it uses less digits than its factorization.

557123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386912 (or 386901 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 557123040 is about 23603.4539845337. The cubic root of 557123040 is about 822.8431152536.

Adding to 557123040 its reverse (40321755), we get a palindrome (597444795).

The spelling of 557123040 in words is "five hundred fifty-seven million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 386891 773782 1160673 1547564 1934455 2321346 3095128 3482019 3868910 4642692 5803365 6190256 6964038 7737820 9285384 11606730 12380512 13928076 15475640 17410095 18570768 23213460 27856152 30951280 34820190 37141536 46426920 55712304 61902560 69640380 92853840 111424608 139280760 185707680 278561520 557123040