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272864445 = 357107149163
BaseRepresentation
bin10000010000111…
…001010010111101
3201000102221122120
4100100321102331
51024323130240
643024233153
76522211110
oct2020712275
9630387576
10272864445
11130030107
127746b7b9
13446b9869
142834c577
1518e4dad0
hex104394bd

272864445 has 64 divisors (see below), whose sum is σ = 510105600. Its totient is φ = 121989888.

The previous prime is 272864443. The next prime is 272864483. The reversal of 272864445 is 544468272.

It is a happy number.

It is not a de Polignac number, because 272864445 - 21 = 272864443 is a prime.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 272864397 and 272864406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272864443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1673934 + ... + 1674096.

It is an arithmetic number, because the mean of its divisors is an integer number (7970400).

Almost surely, 2272864445 is an apocalyptic number.

It is an amenable number.

272864445 is a deficient number, since it is larger than the sum of its proper divisors (237241155).

272864445 is a wasteful number, since it uses less digits than its factorization.

272864445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 430080, while the sum is 42.

The square root of 272864445 is about 16518.6090516121. The cubic root of 272864445 is about 648.6080231780.

The spelling of 272864445 in words is "two hundred seventy-two million, eight hundred sixty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 107 149 163 321 447 489 535 745 749 815 1043 1141 1605 2235 2247 2445 3129 3423 3745 5215 5705 11235 15645 15943 17115 17441 24287 47829 52323 72861 79715 87205 111601 121435 122087 170009 239145 261615 334803 364305 366261 510027 558005 610435 850045 1674015 1831305 2550135 2598709 7796127 12993545 18190963 38980635 54572889 90954815 272864445