Search a number
-
+
7464793952 = 257112299497
BaseRepresentation
bin1101111001110111…
…11011011101100000
3201021020022211020002
412330323323131200
5110241441401302
63232420235132
7352661462450
oct67473733540
921236284202
107464793952
113190755200
121543b3baa8
1391c6b2555
1450b589d60
152da52ac02
hex1bcefb760

7464793952 has 144 divisors (see below), whose sum is σ = 19100098080. Its totient is φ = 2807777280.

The previous prime is 7464793907. The next prime is 7464794011. The reversal of 7464793952 is 2593974647.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781268 + ... + 790764.

It is an arithmetic number, because the mean of its divisors is an integer number (132639570).

Almost surely, 27464793952 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 7464793952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550049040).

7464793952 is an abundant number, since it is smaller than the sum of its proper divisors (11635304128).

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

7464793952 is a wasteful number, since it uses less digits than its factorization.

7464793952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9546 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 56.

The square root of 7464793952 is about 86399.0390687304. The cubic root of 7464793952 is about 1954.3661929839.

The spelling of 7464793952 in words is "seven billion, four hundred sixty-four million, seven hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 121 154 176 203 224 232 242 308 319 352 406 464 484 616 638 812 847 928 968 1232 1276 1624 1694 1936 2233 2464 2552 3248 3388 3509 3872 4466 5104 6496 6776 7018 8932 9497 10208 13552 14036 17864 18994 24563 27104 28072 35728 37988 49126 56144 66479 71456 75976 98252 104467 112288 132958 151952 196504 208934 265916 275413 303904 393008 417868 531832 550826 731269 786016 835736 1063664 1101652 1149137 1462538 1671472 1927891 2127328 2203304 2298274 2925076 3029543 3342944 3855782 4406608 4596548 5850152 6059086 7711564 8043959 8813216 9193096 11700304 12118172 15423128 16087918 18386192 21206801 23400608 24236344 30846256 32175836 33324973 36772384 42413602 48472688 61692512 64351672 66649946 84827204 96945376 128703344 133299892 169654408 233274811 257406688 266599784 339308816 466549622 533199568 678617632 933099244 1066399136 1866198488 3732396976 7464793952