Search a number
-
+
4219405408 = 25374018887
BaseRepresentation
bin1111101101111111…
…0000010001100000
3101220001120000002101
43323133300101200
532120131433113
61534404300144
7206363232331
oct37337602140
911801500071
104219405408
111875820809
129990a1654
135232115ba
142c0548288
1519a6642dd
hexfb7f0460

4219405408 has 48 divisors (see below), whose sum is σ = 8553704544. Its totient is φ = 2047334400.

The previous prime is 4219405367. The next prime is 4219405409. The reversal of 4219405408 is 8045049124.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219405409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470341 + ... + 479227.

It is an arithmetic number, because the mean of its divisors is an integer number (178202178).

Almost surely, 24219405408 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 4219405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276852272).

4219405408 is an abundant number, since it is smaller than the sum of its proper divisors (4334299136).

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

4219405408 is a wasteful number, since it uses less digits than its factorization.

4219405408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9335 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 4219405408 is about 64956.9504210288. The cubic root of 4219405408 is about 1615.9096892641.

The spelling of 4219405408 in words is "four billion, two hundred nineteen million, four hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 401 592 802 1184 1604 3208 6416 8887 12832 14837 17774 29674 35548 59348 71096 118696 142192 237392 284384 328819 474784 657638 1315276 2630552 3563687 5261104 7127374 10522208 14254748 28509496 57018992 114037984 131856419 263712838 527425676 1054851352 2109702704 4219405408