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38197152 = 2532718947
BaseRepresentation
bin1001000110110…
…1011110100000
32122212121122100
42101231132200
534234302102
63442410400
7642445650
oct221553640
978777570
1038197152
111a61a0a4
1210960a00
137bb5086
145104360
153547a1c
hex246d7a0

38197152 has 72 divisors (see below), whose sum is σ = 124147296. Its totient is φ = 10912896.

The previous prime is 38197151. The next prime is 38197157. The reversal of 38197152 is 25179183.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×381971522 = 2918044841822208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38197151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7458 + ... + 11489.

It is an arithmetic number, because the mean of its divisors is an integer number (1724268).

Almost surely, 238197152 is an apocalyptic number.

38197152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38197152 is an abundant number, since it is smaller than the sum of its proper divisors (85950144).

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

38197152 is a wasteful number, since it uses less digits than its factorization.

38197152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18970 (or 18959 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 38197152 is about 6180.3844540611. The cubic root of 38197152 is about 336.7779592628. Note that the first 3 decimals are identical.

The spelling of 38197152 in words is "thirty-eight million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 18947 37894 56841 75788 113682 132629 151576 170523 227364 265258 303152 341046 397887 454728 530516 606304 682092 795774 909456 1061032 1193661 1364184 1591548 1818912 2122064 2387322 2728368 3183096 4244128 4774644 5456736 6366192 9549288 12732384 19098576 38197152