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1388378448 = 24333213839
BaseRepresentation
bin101001011000000…
…1111100101010000
310120202110221012000
41102300033211100
510320411102243
6345433434000
746256010402
oct12260174520
93522427160
101388378448
11652781306
12328b6b900
1319183cb12
14d2568b72
1581d4b5d3
hex52c0f950

1388378448 has 40 divisors (see below), whose sum is σ = 3985161600. Its totient is φ = 462792672.

The previous prime is 1388378441. The next prime is 1388378471. The reversal of 1388378448 is 8448738831.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1388378394 and 1388378403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388378441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606488 + ... + 1607351.

It is an arithmetic number, because the mean of its divisors is an integer number (99629040).

Almost surely, 21388378448 is an apocalyptic number.

1388378448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1388378448 is an abundant number, since it is smaller than the sum of its proper divisors (2596783152).

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

1388378448 is a wasteful number, since it uses less digits than its factorization.

1388378448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213856 (or 3213844 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1388378448 is about 37260.9507125087. The cubic root of 1388378448 is about 1115.5848843424.

The spelling of 1388378448 in words is "one billion, three hundred eighty-eight million, three hundred seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3213839 6427678 9641517 12855356 19283034 25710712 28924551 38566068 51421424 57849102 77132136 86773653 115698204 154264272 173547306 231396408 347094612 462792816 694189224 1388378448