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61448220 = 2234583457
BaseRepresentation
bin1110101001101…
…0000000011100
311021121220010000
43222122000130
5111212320340
610033014300
71344205221
oct352320034
9137556100
1061448220
113175aa59
12186b4390
13c9661c2
148237948
1555dbd30
hex3a9a01c

61448220 has 120 divisors (see below), whose sum is σ = 195514704. Its totient is φ = 16153344.

The previous prime is 61448213. The next prime is 61448227. The reversal of 61448220 is 2284416.

61448220 is a `hidden beast` number, since 614 + 48 + 2 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61448213) and next prime (61448227).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61448227) 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 39 ways as a sum of consecutive naturals, for example, 134232 + ... + 134688.

Almost surely, 261448220 is an apocalyptic number.

61448220 is a gapful number since it is divisible by the number (60) 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 61448220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97757352).

61448220 is an abundant number, since it is smaller than the sum of its proper divisors (134066484).

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

61448220 is a wasteful number, since it uses less digits than its factorization.

61448220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61448220 is about 7838.8915032675. The cubic root of 61448220 is about 394.6115285589.

The spelling of 61448220 in words is "sixty-one million, four hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 457 498 540 747 810 830 914 996 1245 1371 1494 1620 1660 1828 2241 2285 2490 2742 2988 3735 4113 4482 4570 4980 5484 6723 6855 7470 8226 8964 9140 11205 12339 13446 13710 14940 16452 20565 22410 24678 26892 27420 33615 37017 37931 41130 44820 49356 61695 67230 74034 75862 82260 113793 123390 134460 148068 151724 185085 189655 227586 246780 341379 370170 379310 455172 568965 682758 740340 758620 1024137 1137930 1365516 1706895 2048274 2275860 3072411 3413790 4096548 5120685 6144822 6827580 10241370 12289644 15362055 20482740 30724110 61448220