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1378410048 = 26341715641
BaseRepresentation
bin101001000101000…
…1101111001000000
310120001201111010000
41102022031321000
510310333110143
6344440040000
746105202121
oct12212157100
93501644100
101378410048
11648092964
12325763000
1318c75c762
14d10d2048
158102cbd3
hex5228de40

1378410048 has 140 divisors (see below), whose sum is σ = 4326671052. Its totient is φ = 432414720.

The previous prime is 1378410023. The next prime is 1378410067. The reversal of 1378410048 is 8400148731.

It can be written as a sum of positive squares in 2 ways, for example, as 1275346944 + 103063104 = 35712^2 + 10152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1378409994 and 1378410021.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80308 + ... + 95948.

Almost surely, 21378410048 is an apocalyptic number.

1378410048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163335526).

1378410048 is an abundant number, since it is smaller than the sum of its proper divisors (2948261004).

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

1378410048 is a wasteful number, since it uses less digits than its factorization.

1378410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15682 (or 15663 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1378410048 is about 37126.9450399572. The cubic root of 1378410048 is about 1112.9085444429.

Adding to 1378410048 its reverse (8400148731), we get a palindrome (9778558779).

It can be divided in two parts, 13784 and 10048, that added together give a palindrome (23832).

The spelling of 1378410048 in words is "one billion, three hundred seventy-eight million, four hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 15641 22032 29376 31282 44064 46923 62564 88128 93846 125128 140769 187692 250256 265897 281538 375384 422307 500512 531794 563076 750768 797691 844614 1001024 1063588 1126152 1266921 1501536 1595382 1689228 2127176 2252304 2393073 2533842 3003072 3190764 3378456 4254352 4504608 4786146 5067684 6381528 6756912 7179219 8508704 9009216 9572292 10135368 12763056 13513824 14358438 17017408 19144584 20270736 21537657 25526112 27027648 28716876 38289168 40541472 43075314 51052224 57433752 76578336 81082944 86150628 114867504 153156672 172301256 229735008 344602512 459470016 689205024 1378410048