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142893984 = 2531978341
BaseRepresentation
bin10001000010001…
…10001110100000
3100221212202200210
420201012032200
5243040101414
622102414120
73353402352
oct1041061640
9327782623
10142893984
1173729402
123ba31340
13237b166c
1414d990d2
15c828e59
hex88463a0

142893984 has 48 divisors (see below), whose sum is σ = 394843680. Its totient is φ = 45123840.

The previous prime is 142893977. The next prime is 142894001. The reversal of 142893984 is 489398241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37347 + ... + 40994.

It is an arithmetic number, because the mean of its divisors is an integer number (8225910).

Almost surely, 2142893984 is an apocalyptic number.

It is an amenable number.

142893984 is an abundant number, since it is smaller than the sum of its proper divisors (251949696).

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

142893984 is a wasteful number, since it uses less digits than its factorization.

142893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78373 (or 78365 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 142893984 is about 11953.8271695721. The cubic root of 142893984 is about 522.8028923804.

The spelling of 142893984 in words is "one hundred forty-two million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 78341 156682 235023 313364 470046 626728 940092 1253456 1488479 1880184 2506912 2976958 3760368 4465437 5953916 7520736 8930874 11907832 17861748 23815664 35723496 47631328 71446992 142893984