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4212294960 = 243532215449
BaseRepresentation
bin1111101100010010…
…1000010100110000
3101212120011202101110
43323010220110300
532111321414320
61533552033320
7206245626216
oct37304502460
911776152343
104212294960
111871804605
12996832840
135218c2033
142bd616cb6
15199c0c5e0
hexfb128530

4212294960 has 80 divisors (see below), whose sum is σ = 13064565600. Its totient is φ = 1122723840.

The previous prime is 4212294953. The next prime is 4212294967. The reversal of 4212294960 is 694922124.

It is an interprime number because it is at equal distance from previous prime (4212294953) and next prime (4212294967).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4212294967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770316 + ... + 775764.

It is an arithmetic number, because the mean of its divisors is an integer number (163307070).

Almost surely, 24212294960 is an apocalyptic number.

4212294960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212294960 is an abundant number, since it is smaller than the sum of its proper divisors (8852270640).

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

4212294960 is a wasteful number, since it uses less digits than its factorization.

4212294960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4212294960 is about 64902.1953403735. The cubic root of 4212294960 is about 1615.0014805713.

The spelling of 4212294960 in words is "four billion, two hundred twelve million, two hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3221 5449 6442 9663 10898 12884 16105 16347 19326 21796 25768 27245 32210 32694 38652 43592 48315 51536 54490 64420 65388 77304 81735 87184 96630 108980 128840 130776 154608 163470 193260 217960 257680 261552 326940 386520 435920 653880 773040 1307760 17551229 35102458 52653687 70204916 87756145 105307374 140409832 175512290 210614748 263268435 280819664 351024580 421229496 526536870 702049160 842458992 1053073740 1404098320 2106147480 4212294960