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102478446 = 23773347
BaseRepresentation
bin1100001101110…
…11001001101110
321010211110000000
412012323021232
5202213302241
614100245130
72353023660
oct606731156
9233743000
10102478446
1152934634
122a3a07a6
1318300945
14d878530
158ee3eb6
hex61bb26e

102478446 has 64 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 29270808.

The previous prime is 102478429. The next prime is 102478447. The reversal of 102478446 is 644874201.

It is a self number, because there is not a number n which added to its sum of digits gives 102478446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102478447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28945 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2102478446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102478446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

102478446 is an abundant number, since it is smaller than the sum of its proper divisors (161076114).

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

102478446 is an frugal number, since it uses more digits than its factorization.

102478446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 102478446 is about 10123.1638335058. The cubic root of 102478446 is about 467.9622750656.

The spelling of 102478446 in words is "one hundred two million, four hundred seventy-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3347 3402 4374 5103 6694 10041 10206 15309 20082 23429 30123 30618 46858 60246 70287 90369 140574 180738 210861 271107 421722 542214 632583 813321 1265166 1626642 1897749 2439963 3795498 4879926 5693247 7319889 11386494 14639778 17079741 34159482 51239223 102478446