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117002448 = 24331991361
BaseRepresentation
bin1101111100101…
…01000011010000
322011011100012000
412332111003100
5214423034243
615335434000
72620335003
oct676250320
9264140160
10117002448
1160054742
1233225900
131b317724
141177953a
15a4125d3
hex6f950d0

117002448 has 80 divisors (see below), whose sum is σ = 337776000. Its totient is φ = 38776320.

The previous prime is 117002423. The next prime is 117002461. The reversal of 117002448 is 844200711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 85288 + ... + 86648.

It is an arithmetic number, because the mean of its divisors is an integer number (4222200).

Almost surely, 2117002448 is an apocalyptic number.

117002448 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 117002448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168888000).

117002448 is an abundant number, since it is smaller than the sum of its proper divisors (220773552).

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

117002448 is a wasteful number, since it uses less digits than its factorization.

117002448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117002448 is about 10816.7669846401. The cubic root of 117002448 is about 489.1007357674.

The spelling of 117002448 in words is "one hundred seventeen million, two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1361 1592 1791 2388 2722 3184 3582 4083 4776 5373 5444 7164 8166 9552 10746 10888 12249 14328 16332 21492 21776 24498 28656 32664 36747 42984 48996 65328 73494 85968 97992 146988 195984 270839 293976 541678 587952 812517 1083356 1625034 2166712 2437551 3250068 4333424 4875102 6500136 7312653 9750204 13000272 14625306 19500408 29250612 39000816 58501224 117002448