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190210048 = 213731107
BaseRepresentation
bin10110101011001…
…10000000000000
3111020220200010121
423111212000000
5342143210143
630512510024
74466521150
oct1325460000
9436820117
10190210048
1198406696
125384b314
133053a232
141b394760
1511a737ed
hexb566000

190210048 has 112 divisors (see below), whose sum is σ = 452957184. Its totient is φ = 78151680.

The previous prime is 190210039. The next prime is 190210049. The reversal of 190210048 is 840012091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190210049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777611 + ... + 1777717.

Almost surely, 2190210048 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 190210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226478592).

190210048 is an abundant number, since it is smaller than the sum of its proper divisors (262747136).

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

190210048 is an equidigital number, since it uses as much as digits as its factorization.

190210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 190210048 is about 13791.6658892246. The cubic root of 190210048 is about 575.1014797577.

The spelling of 190210048 in words is "one hundred ninety million, two hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 107 112 124 128 214 217 224 248 256 428 434 448 496 512 749 856 868 896 992 1024 1498 1712 1736 1792 1984 2048 2996 3317 3424 3472 3584 3968 4096 5992 6634 6848 6944 7168 7936 8192 11984 13268 13696 13888 14336 15872 23219 23968 26536 27392 27776 28672 31744 46438 47936 53072 54784 55552 57344 63488 92876 95872 106144 109568 111104 126976 185752 191744 212288 219136 222208 253952 371504 383488 424576 438272 444416 743008 766976 849152 876544 888832 1486016 1533952 1698304 1777664 2972032 3067904 3396608 5944064 6135808 6793216 11888128 13586432 23776256 27172864 47552512 95105024 190210048