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1933922432 = 27134232
BaseRepresentation
bin111001101000101…
…0101000010000000
311222210000102211202
41303101111002000
512430041004212
6515522400332
765632032551
oct16321250200
94883012752
101933922432
11902715602
1245b8000a8
1324a880000
14144bb8328
15b4bae0c2
hex73455080

1933922432 has 120 divisors (see below), whose sum is σ = 4363145115. Its totient is φ = 853771776.

The previous prime is 1933922413. The next prime is 1933922513. The reversal of 1933922432 is 2342293391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 1933888576 = 184^2 + 43976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31096.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 84083573 + ... + 84083595.

Almost surely, 21933922432 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 1933922432

1933922432 is an abundant number, since it is smaller than the sum of its proper divisors (2429222683).

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

1933922432 is an frugal number, since it uses more digits than its factorization.

1933922432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 1933922432 is about 43976.3849355538. The cubic root of 1933922432 is about 1245.8899529823.

The spelling of 1933922432 in words is "one billion, nine hundred thirty-three million, nine hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 299 338 368 416 529 598 676 736 832 1058 1196 1352 1472 1664 2116 2197 2392 2704 2944 3887 4232 4394 4784 5408 6877 7774 8464 8788 9568 10816 13754 15548 16928 17576 19136 21632 27508 28561 31096 33856 35152 38272 50531 55016 57122 62192 67712 70304 89401 101062 110032 114244 124384 140608 178802 202124 220064 228488 248768 281216 357604 404248 440128 456976 497536 656903 715208 808496 880256 913952 1162213 1313806 1430416 1616992 1827904 2324426 2627612 2860832 3233984 3655808 4648852 5255224 5721664 6467968 9297704 10510448 11443328 15108769 18595408 21020896 30217538 37190816 42041792 60435076 74381632 84083584 120870152 148763264 241740304 483480608 966961216 1933922432