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38352636 = 2233797523
BaseRepresentation
bin1001001001001…
…1011011111100
32200011111221000
42102103123330
534304241021
63450010300
7643664160
oct222233374
980144830
1038352636
111a7159a3
1210a16990
137c3aa8a
145144ca0
153578b26
hex24936fc

38352636 has 96 divisors (see below), whose sum is σ = 115028480. Its totient is φ = 10824192.

The previous prime is 38352617. The next prime is 38352637. The reversal of 38352636 is 63625383.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38352636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38352637) 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, 73071 + ... + 73593.

Almost surely, 238352636 is an apocalyptic number.

38352636 is a gapful number since it is divisible by the number (36) 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 38352636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57514240).

38352636 is an abundant number, since it is smaller than the sum of its proper divisors (76675844).

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

38352636 is a wasteful number, since it uses less digits than its factorization.

38352636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 38352636 is about 6192.9505084410. The cubic root of 38352636 is about 337.2342995213.

The spelling of 38352636 in words is "thirty-eight million, three hundred fifty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 523 582 679 756 873 1046 1164 1358 1569 1746 2037 2092 2619 2716 3138 3492 3661 4074 4707 5238 6111 6276 7322 8148 9414 10476 10983 12222 14121 14644 18333 18828 21966 24444 28242 32949 36666 43932 50731 56484 65898 73332 98847 101462 131796 152193 197694 202924 304386 355117 395388 456579 608772 710234 913158 1065351 1369737 1420468 1826316 2130702 2739474 3196053 4261404 5478948 6392106 9588159 12784212 19176318 38352636