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142825464 = 2333291512
BaseRepresentation
bin10001000001101…
…01011111111000
3100221202021201000
420200311133320
5243030403324
622101125000
73352665525
oct1040653770
9327667630
10142825464
1173691981
123b9b9760
1323789412
1414d7c14c
15c8139c9
hex88357f8

142825464 has 96 divisors (see below), whose sum is σ = 413154000. Its totient is φ = 45662400.

The previous prime is 142825457. The next prime is 142825477. The reversal of 142825464 is 464528241.

142825464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1428254642 = 40798226333630592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945789 + ... + 945939.

Almost surely, 2142825464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142825464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206577000).

142825464 is an abundant number, since it is smaller than the sum of its proper divisors (270328536).

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

142825464 is a wasteful number, since it uses less digits than its factorization.

142825464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 185 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 142825464 is about 11950.9607981953. The cubic root of 142825464 is about 522.7193148439.

The spelling of 142825464 in words is "one hundred forty-two million, eight hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 151 174 216 232 261 302 348 453 522 604 696 783 906 1044 1208 1359 1566 1812 2088 2718 3132 3624 4077 4379 5436 6264 8154 8758 10872 13137 16308 17516 22801 26274 32616 35032 39411 45602 52548 68403 78822 91204 105096 118233 136806 157644 182408 205209 236466 273612 315288 410418 472932 547224 615627 661229 820836 945864 1231254 1322458 1641672 1983687 2462508 2644916 3967374 4925016 5289832 5951061 7934748 11902122 15869496 17853183 23804244 35706366 47608488 71412732 142825464