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272385414 = 23272308827
BaseRepresentation
bin10000001111000…
…100010110000110
3200222112121112200
4100033010112012
51024212313124
643010055330
76515144400
oct2017042606
9628477480
10272385414
1112a833214
127727a546
134457c802
1428265b70
1518da6bc9
hex103c4586

272385414 has 36 divisors (see below), whose sum is σ = 686524644. Its totient is φ = 77824152.

The previous prime is 272385413. The next prime is 272385469. The reversal of 272385414 is 414583272.

It is a happy number.

272385414 is a `hidden beast` number, since 2 + 7 + 238 + 5 + 414 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272385413) 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 17 ways as a sum of consecutive naturals, for example, 153532 + ... + 155295.

It is an arithmetic number, because the mean of its divisors is an integer number (19070129).

Almost surely, 2272385414 is an apocalyptic number.

272385414 is an abundant number, since it is smaller than the sum of its proper divisors (414139230).

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

272385414 is a wasteful number, since it uses less digits than its factorization.

272385414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308849 (or 308839 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 272385414 is about 16504.1029444196. The cubic root of 272385414 is about 648.2282432139.

The spelling of 272385414 in words is "two hundred seventy-two million, three hundred eighty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 308827 617654 926481 1852962 2161789 2779443 4323578 5558886 6485367 12970734 15132523 19456101 30265046 38912202 45397569 90795138 136192707 272385414