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142630848 = 2633591399
BaseRepresentation
bin10001000000001…
…01111111000000
3100221101101202000
420200011333000
5243003141343
622053024000
73351225243
oct1040057700
9327341660
10142630848
1173569738
123b925000
132371b969
1414d2b25a
15c7c5ed3
hex8805fc0

142630848 has 112 divisors (see below), whose sum is σ = 426720000. Its totient is φ = 46704384.

The previous prime is 142630801. The next prime is 142630849. The reversal of 142630848 is 848036241.

142630848 is a `hidden beast` number, since 14 + 2 + 630 + 8 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142630849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101253 + ... + 102651.

It is an arithmetic number, because the mean of its divisors is an integer number (3810000).

Almost surely, 2142630848 is an apocalyptic number.

142630848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360000).

142630848 is an abundant number, since it is smaller than the sum of its proper divisors (284089152).

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

142630848 is a wasteful number, since it uses less digits than its factorization.

142630848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 142630848 is about 11942.8157483903. The cubic root of 142630848 is about 522.4817853437.

The spelling of 142630848 in words is "one hundred forty-two million, six hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1399 1416 1593 1728 1888 2124 2798 2832 3186 3776 4197 4248 5596 5664 6372 8394 8496 11192 11328 12591 12744 16788 16992 22384 25182 25488 33576 33984 37773 44768 50364 50976 67152 75546 82541 89536 100728 101952 134304 151092 165082 201456 247623 268608 302184 330164 402912 495246 604368 660328 742869 805824 990492 1208736 1320656 1485738 1980984 2228607 2417472 2641312 2971476 3961968 4457214 5282624 5942952 7923936 8914428 11885904 15847872 17828856 23771808 35657712 47543616 71315424 142630848