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73848138 = 23713314363
BaseRepresentation
bin1000110011011…
…01010101001010
312010221212121020
410121231111022
5122401120023
611154453310
71554461460
oct431552512
9163855536
1073848138
113875a221
1220894236
13123b8230
149b44830
15673ade3
hex466d54a

73848138 has 64 divisors (see below), whose sum is σ = 187686912. Its totient is φ = 18843840.

The previous prime is 73848127. The next prime is 73848143. The reversal of 73848138 is 83184837.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 73848138.

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 31 ways as a sum of consecutive naturals, for example, 14745 + ... + 19107.

It is an arithmetic number, because the mean of its divisors is an integer number (2932608).

Almost surely, 273848138 is an apocalyptic number.

73848138 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73848138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93843456).

73848138 is an abundant number, since it is smaller than the sum of its proper divisors (113838774).

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

73848138 is a wasteful number, since it uses less digits than its factorization.

73848138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419.

The product of its digits is 129024, while the sum is 42.

The square root of 73848138 is about 8593.4939343669. The cubic root of 73848138 is about 419.5462560092.

The spelling of 73848138 in words is "seventy-three million, eight hundred forty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 4363 5642 8463 8726 13089 16926 26178 30541 56719 61082 91623 113438 135253 170157 183246 270506 340314 397033 405759 794066 811518 946771 1191099 1758289 1893542 2382198 2840313 3516578 5274867 5680626 10549734 12308023 24616046 36924069 73848138