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4626640 = 245151383
BaseRepresentation
bin10001101001100011010000
322201001120001
4101221203100
52141023030
6243055344
754216514
oct21514320
98631501
104626640
112680077
121671554
13c5cb75
14886144
15615cca
hex4698d0

4626640 has 40 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 1833600.

The previous prime is 4626637. The next prime is 4626641. The reversal of 4626640 is 466264.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4626599 and 4626608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11889 + ... + 12271.

Almost surely, 24626640 is an apocalyptic number.

4626640 is a gapful number since it is divisible by the number (40) 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 4626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

4626640 is an abundant number, since it is smaller than the sum of its proper divisors (6229808).

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

4626640 is a wasteful number, since it uses less digits than its factorization.

4626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4626640 is about 2150.9625752207. The cubic root of 4626640 is about 166.6307833860.

The spelling of 4626640 in words is "four million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 383 604 755 766 1208 1510 1532 1915 2416 3020 3064 3830 6040 6128 7660 12080 15320 30640 57833 115666 231332 289165 462664 578330 925328 1156660 2313320 4626640