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192006048 = 253131371123
BaseRepresentation
bin10110111000111…
…00011110100000
3111101021220210010
423130130132200
5343123143143
631015204520
74521011253
oct1334343640
9441256703
10192006048
1199422a93
1254376740
1330a18860
141b70109a
1511ccaa33
hexb71c7a0

192006048 has 96 divisors (see below), whose sum is σ = 547235136. Its totient is φ = 58595328.

The previous prime is 192006037. The next prime is 192006053. The reversal of 192006048 is 840600291.

192006048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

192006048 is a modest number, since divided by 6048 gives 192 as remainder.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170415 + ... + 171537.

It is an arithmetic number, because the mean of its divisors is an integer number (5700366).

Almost surely, 2192006048 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 192006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273617568).

192006048 is an abundant number, since it is smaller than the sum of its proper divisors (355229088).

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

192006048 is a wasteful number, since it uses less digits than its factorization.

192006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 192006048 is about 13856.6246972342. The cubic root of 192006048 is about 576.9058855076.

The spelling of 192006048 in words is "one hundred ninety-two million, six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 137 156 208 274 312 411 416 548 624 822 1096 1123 1248 1644 1781 2192 2246 3288 3369 3562 4384 4492 5343 6576 6738 7124 8984 10686 13152 13476 14248 14599 17968 21372 26952 28496 29198 35936 42744 43797 53904 56992 58396 85488 87594 107808 116792 153851 170976 175188 233584 307702 350376 461553 467168 615404 700752 923106 1230808 1401504 1846212 2000063 2461616 3692424 4000126 4923232 6000189 7384848 8000252 12000378 14769696 16000504 24000756 32001008 48001512 64002016 96003024 192006048