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4213628740 = 225617341461
BaseRepresentation
bin1111101100100110…
…1101111101000100
3101212122200111222201
43323021231331010
532112142104430
61534040404244
7206263152616
oct37311557504
911778614881
104213628740
111872535702
12997176684
13521c6b159
142bd882db6
15199dc28ca
hexfb26df44

4213628740 has 24 divisors (see below), whose sum is σ = 8862987672. Its totient is φ = 1682714880.

The previous prime is 4213628719. The next prime is 4213628761. The reversal of 4213628740 is 478263124.

4213628740 = T471 + T472 + ... + T2938.

It is an interprime number because it is at equal distance from previous prime (4213628719) and next prime (4213628761).

It can be written as a sum of positive squares in 4 ways, for example, as 60341824 + 4153286916 = 7768^2 + 64446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4213628740.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158391 + ... + 183070.

It is an arithmetic number, because the mean of its divisors is an integer number (369291153).

Almost surely, 24213628740 is an apocalyptic number.

It is an amenable number.

4213628740 is an abundant number, since it is smaller than the sum of its proper divisors (4649358932).

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

4213628740 is a wasteful number, since it uses less digits than its factorization.

4213628740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342087 (or 342085 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4213628740 is about 64912.4698343854. The cubic root of 4213628740 is about 1615.1719204686.

It can be divided in two parts, 42136 and 28740, that added together give a triangular number (70876 = T376).

The spelling of 4213628740 in words is "four billion, two hundred thirteen million, six hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 617 1234 2468 3085 6170 12340 341461 682922 1365844 1707305 3414610 6829220 210681437 421362874 842725748 1053407185 2106814370 4213628740