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49365144 = 233217311301
BaseRepresentation
bin1011110001010…
…0000010011000
310102220000020200
42330110002120
5100114141034
64522022200
71136411463
oct274240230
9112800220
1049365144
1125957844
1214647960
13a2c545a
1467b02da
154501a99
hex2f14098

49365144 has 96 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 14976000.

The previous prime is 49365139. The next prime is 49365149. The reversal of 49365144 is 44156394.

It is an interprime number because it is at equal distance from previous prime (49365139) and next prime (49365149).

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

It is a junction number, because it is equal to n+sod(n) for n = 49365099 and 49365108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49365149) 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, 37294 + ... + 38594.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 249365144 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 49365144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

49365144 is an abundant number, since it is smaller than the sum of its proper divisors (96875496).

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

49365144 is a wasteful number, since it uses less digits than its factorization.

49365144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1354 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49365144 is about 7026.0333047887. The cubic root of 49365144 is about 366.8372840487.

The spelling of 49365144 in words is "forty-nine million, three hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1301 1581 2108 2232 2602 3162 3903 4216 4743 5204 6324 7806 9486 10408 11709 12648 15612 18972 22117 23418 31224 37944 40331 44234 46836 66351 80662 88468 93672 120993 132702 161324 176936 199053 241986 265404 322648 362979 398106 483972 530808 685627 725958 796212 967944 1371254 1451916 1592424 2056881 2742508 2903832 4113762 5485016 6170643 8227524 12341286 16455048 24682572 49365144