Search a number
-
+
1468448676 = 22341272281
BaseRepresentation
bin101011110000110…
…1011111110100100
310210100010220220000
41113201223332210
511001410324201
6401413541300
751250415322
oct12741537644
93710126800
101468448676
116939a0252
1234b944830
131a52c6156
14dd04cd12
1588db5d86
hex5786bfa4

1468448676 has 90 divisors (see below), whose sum is σ = 3883049478. Its totient is φ = 483900480.

The previous prime is 1468448671. The next prime is 1468448677. The reversal of 1468448676 is 6768448641.

1468448676 is a `hidden beast` number, since 14 + 6 + 84 + 486 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1337803776 + 130644900 = 36576^2 + 11430^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1468448671) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5225656 + ... + 5225936.

Almost surely, 21468448676 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 1468448676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941524739).

1468448676 is an abundant number, since it is smaller than the sum of its proper divisors (2414600802).

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

1468448676 is a wasteful number, since it uses less digits than its factorization.

1468448676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 413 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 1468448676 is about 38320.3428481531. The cubic root of 1468448676 is about 1136.6312461144.

The spelling of 1468448676 in words is "one billion, four hundred sixty-eight million, four hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 281 324 381 508 562 762 843 1124 1143 1524 1686 2286 2529 3372 3429 4572 5058 6858 7587 10116 10287 13716 15174 16129 20574 22761 30348 32258 35687 41148 45522 48387 64516 71374 91044 96774 107061 142748 145161 193548 214122 290322 321183 428244 435483 580644 642366 870966 963549 1284732 1306449 1741932 1927098 2612898 2890647 3854196 4532249 5225796 5781294 9064498 11562588 13596747 18128996 27193494 40790241 54386988 81580482 122370723 163160964 244741446 367112169 489482892 734224338 1468448676