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1348855248 = 243132257647
BaseRepresentation
bin101000001100101…
…1110010111010000
310111000002221112210
41100121132113100
510230301331443
6341502352120
745266036406
oct12031362720
93430087483
101348855248
11632436a04
1231788b640
131865b2300
14cb1db476
157d640c33
hex5065e5d0

1348855248 has 120 divisors (see below), whose sum is σ = 3793739328. Its totient is φ = 412778496.

The previous prime is 1348855219. The next prime is 1348855289. The reversal of 1348855248 is 8425588431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1348855197 and 1348855206.

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, 2084461 + ... + 2085107.

Almost surely, 21348855248 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 1348855248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896869664).

1348855248 is an abundant number, since it is smaller than the sum of its proper divisors (2444884080).

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

1348855248 is a wasteful number, since it uses less digits than its factorization.

1348855248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 922 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 1348855248 is about 36726.7647363609. The cubic root of 1348855248 is about 1104.8969684789.

The spelling of 1348855248 in words is "one billion, three hundred forty-eight million, eight hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 257 312 338 507 514 624 647 676 771 1014 1028 1294 1352 1542 1941 2028 2056 2588 2704 3084 3341 3882 4056 4112 5176 6168 6682 7764 8112 8411 10023 10352 12336 13364 15528 16822 20046 25233 26728 31056 33644 40092 43433 50466 53456 67288 80184 86866 100932 109343 130299 134576 160368 166279 173732 201864 218686 260598 328029 332558 347464 403728 437372 498837 521196 656058 665116 694928 874744 997674 1042392 1312116 1330232 1749488 1995348 2084784 2161627 2624232 2660464 3990696 4323254 5248464 6484881 7981392 8646508 12969762 17293016 25939524 28101151 34586032 51879048 56202302 84303453 103758096 112404604 168606906 224809208 337213812 449618416 674427624 1348855248