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38463936 = 263728619
BaseRepresentation
bin1001001010111…
…0100111000000
32200101011121020
42102232213000
534321321221
63452225440
7644636520
oct222564700
980334536
1038463936
111a791585
1210a6b280
137c79634
145173680
15359bac6
hex24ae9c0

38463936 has 56 divisors (see below), whose sum is σ = 116311680. Its totient is φ = 10989312.

The previous prime is 38463917. The next prime is 38463937. The reversal of 38463936 is 63936483.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×384639362 = 2958948745224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38463937) 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 7 ways as a sum of consecutive naturals, for example, 12966 + ... + 15653.

Almost surely, 238463936 is an apocalyptic number.

It is an amenable number.

38463936 is an abundant number, since it is smaller than the sum of its proper divisors (77847744).

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

38463936 is a wasteful number, since it uses less digits than its factorization.

38463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28641 (or 28631 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 38463936 is about 6201.9300221786. The cubic root of 38463936 is about 337.5602043491.

The spelling of 38463936 in words is "thirty-eight million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 28619 57238 85857 114476 171714 200333 228952 343428 400666 457904 600999 686856 801332 915808 1201998 1373712 1602664 1831616 2403996 2747424 3205328 4807992 5494848 6410656 9615984 12821312 19231968 38463936