Search a number
-
+
48597507456 = 273437141453
BaseRepresentation
bin101101010000101000…
…110001110110000000
311122102211210011112120
4231100220301312000
51244011430214311
634154141124240
73340201666131
oct552050616600
9148384704476
1048597507456
1119679031703
129503259680
13477632a894
1424d036dc88
1513e66ab706
hexb50a31d80

48597507456 has 128 divisors (see below), whose sum is σ = 133952797440. Its totient is φ = 15599216640.

The previous prime is 48597507449. The next prime is 48597507457. The reversal of 48597507456 is 65470579584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 48597507456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48597507457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151626 + ... + 1193078.

It is an arithmetic number, because the mean of its divisors is an integer number (1046506230).

Almost surely, 248597507456 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 48597507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66976398720).

48597507456 is an abundant number, since it is smaller than the sum of its proper divisors (85355289984).

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

48597507456 is a wasteful number, since it uses less digits than its factorization.

48597507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41584 (or 41572 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 48597507456 in words is "forty-eight billion, five hundred ninety-seven million, five hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 71 86 96 128 129 142 172 192 213 258 284 344 384 426 516 568 688 852 1032 1136 1376 1704 2064 2272 2752 3053 3408 4128 4544 5504 6106 6816 8256 9088 9159 12212 13632 16512 18318 24424 27264 36636 41453 48848 73272 82906 97696 124359 146544 165812 195392 248718 293088 331624 390784 497436 586176 663248 994872 1172352 1326496 1782479 1989744 2652992 2943163 3564958 3979488 5305984 5347437 5886326 7129916 7958976 8829489 10694874 11772652 14259832 15917952 17658978 21389748 23545304 28519664 35317956 42779496 47090608 57039328 70635912 85558992 94181216 114078656 126556009 141271824 171117984 188362432 228157312 253112018 282543648 342235968 376724864 379668027 506224036 565087296 684471936 759336054 1012448072 1130174592 1518672108 2024896144 3037344216 4049792288 6074688432 8099584576 12149376864 16199169152 24298753728 48597507456