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1379448 = 2332721723
BaseRepresentation
bin101010000110001111000
32121002020200
411100301320
5323120243
645322200
714503500
oct5206170
92532220
101379448
11862444
12566360
13393b55
1427ca00
151c3ad3
hex150c78

1379448 has 144 divisors (see below), whose sum is σ = 4801680. Its totient is φ = 354816.

The previous prime is 1379447. The next prime is 1379449. The reversal of 1379448 is 8449731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1379447) and next prime (1379449).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59965 + ... + 59987.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

21379448 is an apocalyptic number.

1379448 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 1379448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400840).

1379448 is an abundant number, since it is smaller than the sum of its proper divisors (3422232).

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

1379448 is a wasteful number, since it uses less digits than its factorization.

1379448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1379448 is about 1174.4990421452. The cubic root of 1379448 is about 111.3187816886.

The spelling of 1379448 in words is "one million, three hundred seventy-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 23 24 28 34 36 42 46 49 51 56 63 68 69 72 84 92 98 102 119 126 136 138 147 153 161 168 184 196 204 207 238 252 276 294 306 322 357 391 392 408 414 441 476 483 504 552 588 612 644 714 782 828 833 882 952 966 1071 1127 1173 1176 1224 1288 1428 1449 1564 1656 1666 1764 1932 2142 2254 2346 2499 2737 2856 2898 3128 3332 3381 3519 3528 3864 4284 4508 4692 4998 5474 5796 6664 6762 7038 7497 8211 8568 9016 9384 9996 10143 10948 11592 13524 14076 14994 16422 19159 19992 20286 21896 24633 27048 28152 29988 32844 38318 40572 49266 57477 59976 65688 76636 81144 98532 114954 153272 172431 197064 229908 344862 459816 689724 1379448