Search a number
-
+
4290951936 = 28310195483
BaseRepresentation
bin1111111111000010…
…1011101100000000
3102002001011221110210
43333300223230000
532241440430221
61545441554120
7211222326645
oct37760535400
912061157423
104290951936
111902148777
129b9045940
13534ca201b
142c9c4ddcc
151a1a98276
hexffc2bb00

4290951936 has 72 divisors (see below), whose sum is σ = 11433481920. Its totient is φ = 1428653056.

The previous prime is 4290951923. The next prime is 4290951937. The reversal of 4290951936 is 6391590924.

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

It is not an unprimeable number, because it can be changed into a prime (4290951937) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 779851 + ... + 785333.

It is an arithmetic number, because the mean of its divisors is an integer number (158798360).

Almost surely, 24290951936 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 4290951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716740960).

4290951936 is an abundant number, since it is smaller than the sum of its proper divisors (7142529984).

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

4290951936 is a wasteful number, since it uses less digits than its factorization.

4290951936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 4290951936 is about 65505.3580709242. The cubic root of 4290951936 is about 1624.9919603231.

The spelling of 4290951936 in words is "four billion, two hundred ninety million, nine hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1019 2038 3057 4076 5483 6114 8152 10966 12228 16304 16449 21932 24456 32608 32898 43864 48912 65216 65796 87728 97824 130432 131592 175456 195648 260864 263184 350912 391296 526368 701824 782592 1052736 1403648 2105472 4210944 5587177 11174354 16761531 22348708 33523062 44697416 67046124 89394832 134092248 178789664 268184496 357579328 536368992 715158656 1072737984 1430317312 2145475968 4290951936