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189426432 = 2831318973
BaseRepresentation
bin10110100101001…
…10101100000000
3111012102212012210
423102212230000
5341443121212
630444022120
74460045436
oct1322465400
9435385183
10189426432
1197a20978
1253531940
1330324660
141b22cd56
151196b53c
hexb4a6b00

189426432 has 72 divisors (see below), whose sum is σ = 542959984. Its totient is φ = 58281984.

The previous prime is 189426431. The next prime is 189426439. The reversal of 189426432 is 234624981.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (189426431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 19470.

Almost surely, 2189426432 is an apocalyptic number.

189426432 is a gapful number since it is divisible by the number (12) 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 189426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479992).

189426432 is an abundant number, since it is smaller than the sum of its proper divisors (353533552).

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

189426432 is a wasteful number, since it uses less digits than its factorization.

189426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19005 (or 18991 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 189426432 is about 13763.2275284542. The cubic root of 189426432 is about 574.3106364911.

The spelling of 189426432 in words is "one hundred eighty-nine million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 18973 37946 56919 75892 113838 151784 227676 246649 303568 455352 493298 607136 739947 910704 986596 1214272 1479894 1821408 1973192 2428544 2959788 3642816 3946384 4857088 5919576 7285632 7892768 11839152 14571264 15785536 23678304 31571072 47356608 63142144 94713216 189426432