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94038272 = 281013637
BaseRepresentation
bin1011001101011…
…10100100000000
320112221122020222
411212232210000
5143033211042
613155322212
72221212026
oct546564400
9215848228
1094038272
114909a389
12275b0368
1316637063
14c6bc716
1583c82d2
hex59ae900

94038272 has 36 divisors (see below), whose sum is σ = 189619836. Its totient is φ = 46540800.

The previous prime is 94038247. The next prime is 94038281. The reversal of 94038272 is 27283049.

It can be written as a sum of positive squares in 2 ways, for example, as 45373696 + 48664576 = 6736^2 + 6976^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24038 + ... + 27674.

Almost surely, 294038272 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 94038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94809918).

94038272 is an abundant number, since it is smaller than the sum of its proper divisors (95581564).

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

94038272 is a wasteful number, since it uses less digits than its factorization.

94038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 94038272 is about 9697.3332416701. Note that the first 3 decimals coincide. The cubic root of 94038272 is about 454.7452939853.

The spelling of 94038272 in words is "ninety-four million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 3637 6464 7274 12928 14548 25856 29096 58192 116384 232768 367337 465536 734674 931072 1469348 2938696 5877392 11754784 23509568 47019136 94038272