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4213248840 = 2332511703469
BaseRepresentation
bin1111101100100001…
…0001001101001000
3101212121222012212100
43323020101031020
532112042430330
61534024313400
7206260011213
oct37310211510
911777865770
104213248840
1118722a6239
12997012860
13521b67268
142bd7c477a
15199d4a060
hexfb211348

4213248840 has 48 divisors (see below), whose sum is σ = 13693059900. Its totient is φ = 1123532928.

The previous prime is 4213248827. The next prime is 4213248863. The reversal of 4213248840 is 488423124.

4213248840 is a `hidden beast` number, since 4 + 2 + 132 + 488 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4044196836 + 169052004 = 63594^2 + 13002^2 .

It is a super-2 number, since 2×42132488402 = 35502931575522691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4213248795 and 4213248804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5851375 + ... + 5852094.

Almost surely, 24213248840 is an apocalyptic number.

4213248840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213248840 is an abundant number, since it is smaller than the sum of its proper divisors (9479811060).

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

4213248840 is a wasteful number, since it uses less digits than its factorization.

4213248840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703486 (or 11703479 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4213248840 is about 64909.5435201943. The cubic root of 4213248840 is about 1615.1233778077.

The spelling of 4213248840 in words is "four billion, two hundred thirteen million, two hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11703469 23406938 35110407 46813876 58517345 70220814 93627752 105331221 117034690 140441628 175552035 210662442 234069380 280883256 351104070 421324884 468138760 526656105 702208140 842649768 1053312210 1404416280 2106624420 4213248840