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53782092 = 223271316417
BaseRepresentation
bin1100110100101…
…0011001001100
310202012102011100
43031022121030
5102232011332
65200423100
71222066050
oct315123114
9122172140
1053782092
11283a4311
1216017a90
13b1b0a30
1471ddc60
154ac567c
hex334a64c

53782092 has 72 divisors (see below), whose sum is σ = 167332256. Its totient is φ = 14183424.

The previous prime is 53782081. The next prime is 53782097. The reversal of 53782092 is 29028735.

It is a happy number.

It is a super-4 number, since 4×537820924 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53782097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4933 + ... + 11484.

Almost surely, 253782092 is an apocalyptic number.

53782092 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

53782092 is an abundant number, since it is smaller than the sum of its proper divisors (113550164).

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

53782092 is a wasteful number, since it uses less digits than its factorization.

53782092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53782092 is about 7333.6274789493. The cubic root of 53782092 is about 377.4672094086.

The spelling of 53782092 in words is "fifty-three million, seven hundred eighty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 16417 32834 49251 65668 98502 114919 147753 197004 213421 229838 295506 344757 426842 459676 591012 640263 689514 853684 1034271 1280526 1379028 1493947 1920789 2068542 2561052 2987894 3841578 4137084 4481841 5975788 7683156 8963682 13445523 17927364 26891046 53782092