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4738368 = 263232937
BaseRepresentation
bin10010000100110101000000
322220201211010
4102010311000
52203111433
6245320520
755163325
oct22046500
98821733
104738368
112747008
121706140
13c9b98b
148b4b4c
15638e63
hex484d40

4738368 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 1419264.

The previous prime is 4738367. The next prime is 4738369. The reversal of 4738368 is 8638374.

It is an interprime number because it is at equal distance from previous prime (4738367) and next prime (4738369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128046 + ... + 128082.

Almost surely, 24738368 is an apocalyptic number.

4738368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

4738368 is an abundant number, since it is smaller than the sum of its proper divisors (9160512).

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

4738368 is a wasteful number, since it uses less digits than its factorization.

4738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 4738368 is about 2176.7792722277. The cubic root of 4738368 is about 167.9614423985.

The spelling of 4738368 in words is "four million, seven hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 37 46 48 58 64 69 74 87 92 96 111 116 138 148 174 184 192 222 232 276 296 348 368 444 464 552 592 667 696 736 851 888 928 1073 1104 1184 1334 1392 1472 1702 1776 1856 2001 2146 2208 2368 2553 2668 2784 3219 3404 3552 4002 4292 4416 5106 5336 5568 6438 6808 7104 8004 8584 10212 10672 12876 13616 16008 17168 20424 21344 24679 25752 27232 32016 34336 40848 42688 49358 51504 54464 64032 68672 74037 81696 98716 103008 128064 148074 163392 197432 206016 296148 394864 592296 789728 1184592 1579456 2369184 4738368