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38546240 = 265163739
BaseRepresentation
bin1001001100001…
…0101101000000
32200112100111112
42103002231000
534331434430
63454102452
7645431465
oct223025500
980470445
1038546240
111a8383a7
1210aaaa28
137ca7c35
14519566c
1535b6195
hex24c2b40

38546240 has 56 divisors (see below), whose sum is σ = 92476320. Its totient is φ = 15303168.

The previous prime is 38546213. The next prime is 38546243. The reversal of 38546240 is 4264583.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38546197 and 38546206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38546243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51791 + ... + 52529.

Almost surely, 238546240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238160).

38546240 is an abundant number, since it is smaller than the sum of its proper divisors (53930080).

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

38546240 is a wasteful number, since it uses less digits than its factorization.

38546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 38546240 is about 6208.5618302470. The cubic root of 38546240 is about 337.8007999595.

The spelling of 38546240 in words is "thirty-eight million, five hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 739 815 1304 1478 1630 2608 2956 3260 3695 5216 5912 6520 7390 10432 11824 13040 14780 23648 26080 29560 47296 52160 59120 118240 120457 236480 240914 481828 602285 963656 1204570 1927312 2409140 3854624 4818280 7709248 9636560 19273120 38546240