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2758875625 = 541121912
BaseRepresentation
bin1010010001110001…
…0001100111101001
321010021022101212201
42210130101213221
521122233010000
61133432140201
7125240025112
oct24434214751
97107271781
102758875625
11119634a100
1264bb37661
1334c75b9ac
141c259b209
1511231496a
hexa47119e9

2758875625 has 45 divisors (see below), whose sum is σ = 3809334529. Its totient is φ = 1995950000.

The previous prime is 2758875593. The next prime is 2758875631. The reversal of 2758875625 is 5265788572.

The square root of 2758875625 is 52525.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 216295849 + 2542579776 = 14707^2 + 50424^2 .

It is not a de Polignac number, because 2758875625 - 25 = 2758875593 is a prime.

It is a super-2 number, since 2×27588756252 = 15222789428438281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14444280 + ... + 14444470.

Almost surely, 22758875625 is an apocalyptic number.

2758875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2758875625 is the 52525-th square number.

2758875625 is the 26263-rd centered octagonal number.

It is an amenable number.

2758875625 is a deficient number, since it is larger than the sum of its proper divisors (1050458904).

2758875625 is an frugal number, since it uses more digits than its factorization.

2758875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 207 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 55.

The cubic root of 2758875625 is about 1402.5253103211.

The spelling of 2758875625 in words is "two billion, seven hundred fifty-eight million, eight hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 191 275 605 625 955 1375 2101 3025 4775 6875 10505 15125 23111 23875 36481 52525 75625 115555 119375 182405 262625 401291 577775 912025 1313125 2006455 2888875 4414201 4560125 10032275 14444375 22071005 22800625 50161375 110355025 250806875 551775125 2758875625