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102444524 = 227132291229
BaseRepresentation
bin1100001101100…
…10110111101100
321010202201110122
412012302313230
5202211211044
614055424112
72352523040
oct606626754
9233681418
10102444524
11529110a6
122a385038
13182bb380
14d86a020
158ed8dee
hex61b2dec

102444524 has 48 divisors (see below), whose sum is σ = 221793600. Its totient is φ = 40317696.

The previous prime is 102444469. The next prime is 102444547. The reversal of 102444524 is 425444201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 102444493 and 102444502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82742 + ... + 83970.

It is an arithmetic number, because the mean of its divisors is an integer number (4620700).

Almost surely, 2102444524 is an apocalyptic number.

102444524 is a gapful number since it is divisible by the number (14) 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 102444524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110896800).

102444524 is an abundant number, since it is smaller than the sum of its proper divisors (119349076).

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

102444524 is a wasteful number, since it uses less digits than its factorization.

102444524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 102444524 is about 10121.4882304926. The cubic root of 102444524 is about 467.9106350419.

Adding to 102444524 its reverse (425444201), we get a palindrome (527888725).

The spelling of 102444524 in words is "one hundred two million, four hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 229 364 458 916 1229 1603 2458 2977 3206 4916 5954 6412 8603 11908 15977 17206 20839 31954 34412 41678 63908 83356 111839 223678 281441 447356 562882 1125764 1970087 3658733 3940174 7317466 7880348 14634932 25611131 51222262 102444524