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38274152 = 237671012
BaseRepresentation
bin1001001000000…
…0010001101000
32200000112021012
42102000101220
534244233102
63444203052
7643216310
oct222002150
980015235
1038274152
111a671a34
1210999488
137c11137
145124440
153560752
hex2480468

38274152 has 48 divisors (see below), whose sum is σ = 84072480. Its totient is φ = 15998400.

The previous prime is 38274133. The next prime is 38274209. The reversal of 38274152 is 25147283.

It is a super-2 number, since 2×382741522 = 2929821422638208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378902 + ... + 379002.

It is an arithmetic number, because the mean of its divisors is an integer number (1751510).

Almost surely, 238274152 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 38274152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42036240).

38274152 is an abundant number, since it is smaller than the sum of its proper divisors (45798328).

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

38274152 is a wasteful number, since it uses less digits than its factorization.

38274152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 177 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 38274152 is about 6186.6107037699. The cubic root of 38274152 is about 337.0041061174.

The spelling of 38274152 in words is "thirty-eight million, two hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 67 101 134 202 268 404 469 536 707 808 938 1414 1876 2828 3752 5656 6767 10201 13534 20402 27068 40804 47369 54136 71407 81608 94738 142814 189476 285628 378952 571256 683467 1366934 2733868 4784269 5467736 9568538 19137076 38274152