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8629457148 = 2234132048779
BaseRepresentation
bin10000000100101101…
…10001000011111100
3211021101211211210000
420002112301003330
5120133120112043
63544143114300
7423563114124
oct100226610374
924241754700
108629457148
113729115974
121809ba2990
13a76a83880
145bc11bc84
153578d62d3
hex2025b10fc

8629457148 has 60 divisors (see below), whose sum is σ = 24294433240. Its totient is φ = 2655216288.

The previous prime is 8629457141. The next prime is 8629457149. The reversal of 8629457148 is 8417549268.

It is a happy number.

8629457148 is a `hidden beast` number, since 8 + 6 + 29 + 4 + 571 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8629457094 and 8629457103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629457141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1020178 + ... + 1028601.

Almost surely, 28629457148 is an apocalyptic number.

It is an amenable number.

8629457148 is an abundant number, since it is smaller than the sum of its proper divisors (15664976092).

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

8629457148 is a wasteful number, since it uses less digits than its factorization.

8629457148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048808 (or 2048797 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8629457148 is about 92894.8714838446. The cubic root of 8629457148 is about 2051.1361655895.

The spelling of 8629457148 in words is "eight billion, six hundred twenty-nine million, four hundred fifty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 2048779 4097558 6146337 8195116 12292674 18439011 24585348 26634127 36878022 53268254 55317033 73756044 79902381 106536508 110634066 159804762 165951099 221268132 239707143 319609524 331902198 479414286 663804396 719121429 958828572 1438242858 2157364287 2876485716 4314728574 8629457148