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2929505253 = 31924767859
BaseRepresentation
bin1010111010011100…
…1011001111100101
321120011101021201120
42232213023033211
521444423132003
61202405244153
7132411245433
oct25647131745
97504337646
102929505253
1112736a1724
12699103659
13378c0177c
141db0d5d53
151222bb853
hexae9cb3e5

2929505253 has 48 divisors (see below), whose sum is σ = 4277928960. Its totient is φ = 1781743392.

The previous prime is 2929505231. The next prime is 2929505269. The reversal of 2929505253 is 3525059292.

It is not a de Polignac number, because 2929505253 - 210 = 2929504229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929505273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3409938 + ... + 3410796.

It is an arithmetic number, because the mean of its divisors is an integer number (89123520).

Almost surely, 22929505253 is an apocalyptic number.

It is an amenable number.

2929505253 is a deficient number, since it is larger than the sum of its proper divisors (1348423707).

2929505253 is a wasteful number, since it uses less digits than its factorization.

2929505253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 2929505253 is about 54124.9041846727. The cubic root of 2929505253 is about 1430.8631320717.

The spelling of 2929505253 in words is "two billion, nine hundred twenty-nine million, five hundred five thousand, two hundred fifty-three".

Divisors: 1 3 19 47 57 67 141 201 361 859 893 1083 1273 2577 2679 3149 3819 9447 16321 16967 24187 40373 48963 50901 57553 59831 72561 121119 172659 179493 310099 767087 930297 1093507 1136789 2301261 2704991 3280521 3410367 8114973 14574653 20776633 43723959 51394829 62329899 154184487 976501751 2929505253