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188480664 = 233237139509
BaseRepresentation
bin10110011101111…
…11110010011000
3111010122210212100
423032333302120
5341222340124
630411443400
74446026211
oct1316776230
9433583770
10188480664
1197435349
1253156560
1330083028
141b064408
15118311c9
hexb3bfc98

188480664 has 96 divisors (see below), whose sum is σ = 529074000. Its totient is φ = 60569856.

The previous prime is 188480659. The next prime is 188480687. The reversal of 188480664 is 466084881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370042 + ... + 370550.

Almost surely, 2188480664 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 188480664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264537000).

188480664 is an abundant number, since it is smaller than the sum of its proper divisors (340593336).

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

188480664 is a wasteful number, since it uses less digits than its factorization.

188480664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 188480664 is about 13728.8260240998. The cubic root of 188480664 is about 573.3532355930.

The spelling of 188480664 in words is "one hundred eighty-eight million, four hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 139 148 222 278 296 333 417 444 509 556 666 834 888 1018 1112 1251 1332 1527 1668 2036 2502 2664 3054 3336 4072 4581 5004 5143 6108 9162 10008 10286 12216 15429 18324 18833 20572 30858 36648 37666 41144 46287 56499 61716 70751 75332 92574 112998 123432 141502 150664 169497 185148 212253 225996 283004 338994 370296 424506 451992 566008 636759 677988 849012 1273518 1355976 1698024 2547036 2617787 5094072 5235574 7853361 10471148 15706722 20942296 23560083 31413444 47120166 62826888 94240332 188480664