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4225239984 = 2437312271787
BaseRepresentation
bin1111101111011000…
…0000101110110000
3101220110112102121210
43323312000232300
532123130134414
61535133320120
7206463642630
oct37366005660
911813472553
104225239984
111879046379
1299b036040
135244a5204
142c12266c0
1519ae17e59
hexfbd80bb0

4225239984 has 160 divisors (see below), whose sum is σ = 12940886016. Its totient is φ = 1162471680.

The previous prime is 4225239979. The next prime is 4225240013. The reversal of 4225239984 is 4899325224.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2363539 + ... + 2365325.

Almost surely, 24225239984 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 4225239984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470443008).

4225239984 is an abundant number, since it is smaller than the sum of its proper divisors (8715646032).

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

4225239984 is a wasteful number, since it uses less digits than its factorization.

4225239984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 4225239984 is about 65001.8460045559. The cubic root of 4225239984 is about 1616.6541705816.

The spelling of 4225239984 in words is "four billion, two hundred twenty-five million, two hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 227 248 336 372 434 454 496 651 681 744 868 908 1302 1362 1488 1589 1736 1787 1816 2604 2724 3178 3472 3574 3632 4767 5208 5361 5448 6356 7037 7148 9534 10416 10722 10896 12509 12712 14074 14296 19068 21111 21444 25018 25424 28148 28592 37527 38136 42222 42888 49259 50036 55397 56296 75054 76272 84444 85776 98518 100072 110794 112592 147777 150108 166191 168888 197036 200144 221588 295554 300216 332382 337776 387779 394072 405649 443176 591108 600432 664764 775558 788144 811298 886352 1163337 1182216 1216947 1329528 1551116 1622596 2326674 2364432 2433894 2659056 2839543 3102232 3245192 4653348 4867788 5679086 6204464 6490384 8518629 9306696 9735576 11358172 12575119 17037258 18613392 19471152 22716344 25150238 34074516 37725357 45432688 50300476 68149032 75450714 88025833 100600952 136298064 150901428 176051666 201201904 264077499 301802856 352103332 528154998 603605712 704206664 1056309996 1408413328 2112619992 4225239984