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38903148 = 2232671272
BaseRepresentation
bin1001010001100…
…1110101101100
32201012111002100
42110121311230
534424400043
63505455100
7651446154
oct224316554
981174070
1038903148
111aa61569
1211041490
1380a151b
145249764
153636cd3
hex2519d6c

38903148 has 54 divisors (see below), whose sum is σ = 100598316. Its totient is φ = 12673584.

The previous prime is 38903147. The next prime is 38903153. The reversal of 38903148 is 84130983.

38903148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×389031483 (a number of 24 digits) contains 333 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 (38903141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 306261 + ... + 306387.

Almost surely, 238903148 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 38903148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50299158).

38903148 is an abundant number, since it is smaller than the sum of its proper divisors (61695168).

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

38903148 is a wasteful number, since it uses less digits than its factorization.

38903148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38903148 is about 6237.2388121668. The cubic root of 38903148 is about 338.8401888553.

The spelling of 38903148 in words is "thirty-eight million, nine hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 127 134 201 254 268 381 402 508 603 762 804 1143 1206 1524 2286 2412 4572 8509 16129 17018 25527 32258 34036 48387 51054 64516 76581 96774 102108 145161 153162 193548 290322 306324 580644 1080643 2161286 3241929 4322572 6483858 9725787 12967716 19451574 38903148