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61484148 = 2232111391117
BaseRepresentation
bin1110101010001…
…0110001110100
311021200201101200
43222202301310
5111214443043
610033452500
71344415035
oct352426164
9137621350
1061484148
1131784a50
1218711130
13c97966b
148246a8c
1555e77d3
hex3aa2c74

61484148 has 72 divisors (see below), whose sum is σ = 170919840. Its totient is φ = 18480960.

The previous prime is 61484119. The next prime is 61484167. The reversal of 61484148 is 84148416.

61484148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 54486 + ... + 55602.

Almost surely, 261484148 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 61484148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85459920).

61484148 is an abundant number, since it is smaller than the sum of its proper divisors (109435692).

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

61484148 is a wasteful number, since it uses less digits than its factorization.

61484148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 61484148 is about 7841.1828189375. The cubic root of 61484148 is about 394.6884217043.

It can be divided in two parts, 6148 and 4148, that added together give a triangular number (10296 = T143).

The spelling of 61484148 in words is "sixty-one million, four hundred eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 834 1117 1251 1529 1668 2234 2502 3058 3351 4468 4587 5004 6116 6702 9174 10053 12287 13404 13761 18348 20106 24574 27522 36861 40212 49148 55044 73722 110583 147444 155263 221166 310526 442332 465789 621052 931578 1397367 1707893 1863156 2794734 3415786 5123679 5589468 6831572 10247358 15371037 20494716 30742074 61484148