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53780272 = 2471343859
BaseRepresentation
bin1100110100100…
…1111100110000
310202012022122221
43031021330300
5102231432042
65200410424
71222060540
oct315117460
9122168587
1053780272
11283a2a07
1216016a14
13b1acc60
1471dd320
154ac4d67
hex3349f30

53780272 has 80 divisors (see below), whose sum is σ = 131380480. Its totient is φ = 20756736.

The previous prime is 53780263. The next prime is 53780291. The reversal of 53780272 is 27208735.

53780272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62179 + ... + 63037.

It is an arithmetic number, because the mean of its divisors is an integer number (1642256).

Almost surely, 253780272 is an apocalyptic number.

53780272 is a gapful number since it is divisible by the number (52) 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 53780272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65690240).

53780272 is an abundant number, since it is smaller than the sum of its proper divisors (77600208).

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

53780272 is a wasteful number, since it uses less digits than its factorization.

53780272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 53780272 is about 7333.5033919676. The cubic root of 53780272 is about 377.4629514977.

The spelling of 53780272 in words is "fifty-three million, seven hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 52 56 86 91 104 112 172 182 208 301 344 364 559 602 688 728 859 1118 1204 1456 1718 2236 2408 3436 3913 4472 4816 6013 6872 7826 8944 11167 12026 13744 15652 22334 24052 31304 36937 44668 48104 62608 73874 78169 89336 96208 147748 156338 178672 258559 295496 312676 480181 517118 590992 625352 960362 1034236 1250704 1920724 2068472 3361267 3841448 4136944 6722534 7682896 13445068 26890136 53780272