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53779660 = 22511271313
BaseRepresentation
bin1100110100100…
…1110011001100
310202012021211021
43031021303030
5102231422120
65200403524
71222056004
oct315116314
9122167737
1053779660
11283a2500
12160165a4
13b1ac8ac
1471dd004
154ac4aaa
hex3349ccc

53779660 has 72 divisors (see below), whose sum is σ = 126288288. Its totient is φ = 19219200.

The previous prime is 53779657. The next prime is 53779667. The reversal of 53779660 is 6697735.

53779660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (53779667) 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 23 ways as a sum of consecutive naturals, for example, 171664 + ... + 171976.

It is an arithmetic number, because the mean of its divisors is an integer number (1754004).

Almost surely, 253779660 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 53779660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144144).

53779660 is an abundant number, since it is smaller than the sum of its proper divisors (72508628).

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

53779660 is a wasteful number, since it uses less digits than its factorization.

53779660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 53779660 is about 7333.4616655438. The cubic root of 53779660 is about 377.4615196950.

The spelling of 53779660 in words is "fifty-three million, seven hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 313 355 484 605 626 710 781 1210 1252 1420 1562 1565 2420 3124 3130 3443 3905 6260 6886 7810 8591 13772 15620 17182 17215 22223 34364 34430 37873 42955 44446 68860 75746 85910 88892 111115 151492 171820 189365 222230 244453 378730 444460 488906 757460 977812 1222265 2444530 2688983 4889060 5377966 10755932 13444915 26889830 53779660