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4958427744 = 253310156821
BaseRepresentation
bin1001001111000101…
…11001101001100000
3110210120011020011000
410213202321221200
540123324141434
62140004152000
7233605640364
oct44742715140
913716136130
104958427744
1121149a3176
12b64698600
1361036451a
1435075d2a4
151e0493b99
hex1278b9a60

4958427744 has 96 divisors (see below), whose sum is σ = 14605526880. Its totient is φ = 1636416000.

The previous prime is 4958427737. The next prime is 4958427787. The reversal of 4958427744 is 4477248594.

4958427744 is a `hidden beast` number, since 495 + 8 + 42 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58854 + ... + 115674.

It is an arithmetic number, because the mean of its divisors is an integer number (152140905).

Almost surely, 24958427744 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 4958427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302763440).

4958427744 is an abundant number, since it is smaller than the sum of its proper divisors (9647099136).

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

4958427744 is a wasteful number, since it uses less digits than its factorization.

4958427744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56941 (or 56927 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 4958427744 is about 70416.1042944013. The cubic root of 4958427744 is about 1705.2235806135.

The spelling of 4958427744 in words is "four billion, nine hundred fifty-eight million, four hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 101 108 144 202 216 288 303 404 432 606 808 864 909 1212 1616 1818 2424 2727 3232 3636 4848 5454 7272 9696 10908 14544 21816 29088 43632 56821 87264 113642 170463 227284 340926 454568 511389 681852 909136 1022778 1363704 1534167 1818272 2045556 2727408 3068334 4091112 5454816 5738921 6136668 8182224 11477842 12273336 16364448 17216763 22955684 24546672 34433526 45911368 49093344 51650289 68867052 91822736 103300578 137734104 154950867 183645472 206601156 275468208 309901734 413202312 550936416 619803468 826404624 1239606936 1652809248 2479213872 4958427744