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38218440 = 23351324499
BaseRepresentation
bin1001000111001…
…0101011001000
32122220200211210
42101302223020
534240442230
63443053120
7642565011
oct221625310
978820753
1038218440
111a634097
12109711a0
137bc1980
14510c008
15354deb0
hex2472ac8

38218440 has 64 divisors (see below), whose sum is σ = 123480000. Its totient is φ = 9407232.

The previous prime is 38218423. The next prime is 38218441. The reversal of 38218440 is 4481283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38218398 and 38218407.

It is not an unprimeable number, because it can be changed into a prime (38218441) 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 15 ways as a sum of consecutive naturals, for example, 10690 + ... + 13809.

It is an arithmetic number, because the mean of its divisors is an integer number (1929375).

Almost surely, 238218440 is an apocalyptic number.

38218440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38218440 is an abundant number, since it is smaller than the sum of its proper divisors (85261560).

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

38218440 is a wasteful number, since it uses less digits than its factorization.

38218440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24526 (or 24522 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38218440 is about 6182.1064371297. The cubic root of 38218440 is about 336.8405118997.

The spelling of 38218440 in words is "thirty-eight million, two hundred eighteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 24499 48998 73497 97996 122495 146994 195992 244990 293988 318487 367485 489980 587976 636974 734970 955461 979960 1273948 1469940 1592435 1910922 2547896 2939880 3184870 3821844 4777305 6369740 7643688 9554610 12739480 19109220 38218440