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1252653430 = 257831491447
BaseRepresentation
bin100101010101001…
…1111100101110110
310020022002101110111
41022222133211312
510031134402210
6324144413234
743020243550
oct11252374566
93208071414
101252653430
115930aa076
122ab61721a
1316c69b562
14bc5184d0
1574e8b88a
hex4aa9f976

1252653430 has 64 divisors (see below), whose sum is σ = 2627251200. Its totient is φ = 421167744.

The previous prime is 1252653403. The next prime is 1252653431. The reversal of 1252653430 is 343562521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1252653392 and 1252653401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252653431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864967 + ... + 866413.

It is an arithmetic number, because the mean of its divisors is an integer number (41050800).

Almost surely, 21252653430 is an apocalyptic number.

1252653430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1252653430 is an abundant number, since it is smaller than the sum of its proper divisors (1374597770).

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

1252653430 is a wasteful number, since it uses less digits than its factorization.

1252653430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 1252653430 is about 35392.8443332830. The cubic root of 1252653430 is about 1077.9790252045.

Subtracting from 1252653430 its reverse (343562521), we obtain a palindrome (909090909).

It can be divided in two parts, 12526 and 53430, that added together give a palindrome (65956).

The spelling of 1252653430 in words is "one billion, two hundred fifty-two million, six hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 83 149 166 298 415 581 745 830 1043 1162 1447 1490 2086 2894 2905 5215 5810 7235 10129 10430 12367 14470 20258 24734 50645 61835 86569 101290 120101 123670 173138 215603 240202 431206 432845 600505 840707 865690 1078015 1201010 1509221 1681414 2156030 3018442 4203535 7546105 8407070 15092210 17895049 35790098 89475245 125265343 178950490 250530686 626326715 1252653430