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4226114048 = 29134172
BaseRepresentation
bin1111101111100101…
…0110001000000000
3101220112011211121112
43323321112020000
532123341122143
61535204142452
7206504243132
oct37371261000
911815154545
104226114048
111879593042
1299b397a28
13524720000
142c13b3052
1519b03be18
hexfbe56200

4226114048 has 150 divisors (see below), whose sum is σ = 9717361401. Its totient is φ = 1835778048.

The previous prime is 4226114033. The next prime is 4226114069. The reversal of 4226114048 is 8404116224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 921243904 + 3304870144 = 30352^2 + 57488^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45968.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 248594936 + ... + 248594952.

Almost surely, 24226114048 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 4226114048

4226114048 is an abundant number, since it is smaller than the sum of its proper divisors (5491247353).

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

4226114048 is an frugal number, since it uses more digits than its factorization.

4226114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4226114048 is about 65008.5690351664. The cubic root of 4226114048 is about 1616.7656405248.

Multiplying 4226114048 by its sum of digits (32), we get a square (135235649536 = 3677442).

4226114048 divided by its sum of digits (32) gives a square (132066064 = 114922).

The spelling of 4226114048 in words is "four billion, two hundred twenty-six million, one hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 256 272 289 338 416 442 512 544 578 676 832 884 1088 1156 1352 1664 1768 2176 2197 2312 2704 2873 3328 3536 3757 4352 4394 4624 5408 5746 6656 7072 7514 8704 8788 9248 10816 11492 14144 15028 17576 18496 21632 22984 28288 28561 30056 35152 36992 37349 43264 45968 48841 56576 57122 60112 70304 73984 74698 86528 91936 97682 113152 114244 120224 140608 147968 149396 183872 195364 228488 240448 281216 298792 367744 390728 456976 480896 485537 562432 597584 634933 735488 781456 913952 961792 971074 1124864 1195168 1269866 1470976 1562912 1827904 1923584 1942148 2390336 2539732 3125824 3655808 3884296 4780672 5079464 6251648 7311616 7768592 8254129 9561344 10158928 12503296 14623232 15537184 16508258 19122688 20317856 25006592 31074368 33016516 40635712 62148736 66033032 81271424 124297472 132066064 162542848 248594944 264132128 325085696 528264256 1056528512 2113057024 4226114048