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3429076525 = 52747835023
BaseRepresentation
bin1100110001100011…
…1000111000101101
322211222102010200021
43030120320320231
524010320422100
61324133002141
7150655445440
oct31430707055
98758363607
103429076525
1114aa695a46
127b8483351
13428566684
142475b9657
1515109ca1a
hexcc638e2d

3429076525 has 48 divisors (see below), whose sum is σ = 5023678464. Its totient is φ = 2273158080.

The previous prime is 3429076517. The next prime is 3429076531. The reversal of 3429076525 is 5256709243.

3429076525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3429076525 - 23 = 3429076517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680164 + ... + 685186.

It is an arithmetic number, because the mean of its divisors is an integer number (104659968).

Almost surely, 23429076525 is an apocalyptic number.

3429076525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3429076525 is a deficient number, since it is larger than the sum of its proper divisors (1594601939).

3429076525 is a wasteful number, since it uses less digits than its factorization.

3429076525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 3429076525 is about 58558.3172999361. The cubic root of 3429076525 is about 1507.9689262090.

The spelling of 3429076525 in words is "three billion, four hundred twenty-nine million, seventy-six thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 47 83 175 235 329 415 581 1175 1645 2075 2905 3901 5023 8225 14525 19505 25115 27307 35161 97525 125575 136535 175805 236081 416909 682675 879025 1180405 1652567 2084545 2918363 5902025 8262835 10422725 14591815 19594723 41314175 72959075 97973615 137163061 489868075 685815305 3429076525