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4213217208 = 2332913994327
BaseRepresentation
bin1111101100100000…
…1001011110111000
3101212121220121110210
43323020021132320
532112040422313
61534023511120
7206256520044
oct37310113670
911777817423
104213217208
1118722844a2
12996bb84a0
13521b55a45
142bd7b7024
15199d409c3
hexfb2097b8

4213217208 has 64 divisors (see below), whose sum is σ = 10906560000. Its totient is φ = 1354695552.

The previous prime is 4213217171. The next prime is 4213217279. The reversal of 4213217208 is 8027123124.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 971541 + ... + 975867.

It is an arithmetic number, because the mean of its divisors is an integer number (170415000).

Almost surely, 24213217208 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 4213217208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453280000).

4213217208 is an abundant number, since it is smaller than the sum of its proper divisors (6693342792).

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

4213217208 is a wasteful number, since it uses less digits than its factorization.

4213217208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4213217208 is about 64909.2998575705. The cubic root of 4213217208 is about 1615.1193358191.

It can be divided in two parts, 42132 and 17208, that added together give a triangular number (59340 = T344).

The spelling of 4213217208 in words is "four billion, two hundred thirteen million, two hundred seventeen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1399 2798 4197 4327 5596 8394 8654 11192 12981 16788 17308 25962 33576 34616 40571 51924 81142 103848 121713 125483 162284 243426 250966 324568 376449 486852 501932 752898 973704 1003864 1505796 3011592 6053473 12106946 18160419 24213892 36320838 48427784 72641676 145283352 175550717 351101434 526652151 702202868 1053304302 1404405736 2106608604 4213217208