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102283488 = 2532439809
BaseRepresentation
bin1100001100010…
…11100011100000
321010110112120100
412012023203200
5202141032423
614052142400
72351252406
oct606134340
9233415510
10102283488
115281110a
122a307a00
1318262c98
14d827476
158ea6343
hex618b8e0

102283488 has 72 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 33974784.

The previous prime is 102283487. The next prime is 102283499. The reversal of 102283488 is 884382201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1022834882 = 20923823834892288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102283483) 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 11 ways as a sum of consecutive naturals, for example, 126028 + ... + 126836.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2102283488 is an apocalyptic number.

102283488 is a gapful number since it is divisible by the number (18) 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 102283488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).

102283488 is an abundant number, since it is smaller than the sum of its proper divisors (189608112).

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

102283488 is a wasteful number, since it uses less digits than its factorization.

102283488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

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

The square root of 102283488 is about 10113.5299475505. The cubic root of 102283488 is about 467.6653316309.

The spelling of 102283488 in words is "one hundred two million, two hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 809 878 1317 1618 1756 2427 2634 3236 3512 3951 4854 5268 6472 7024 7281 7902 9708 10536 12944 14048 14562 15804 19416 21072 25888 29124 31608 38832 42144 58248 63216 77664 116496 126432 232992 355151 710302 1065453 1420604 2130906 2841208 3196359 4261812 5682416 6392718 8523624 11364832 12785436 17047248 25570872 34094496 51141744 102283488