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1388240448 = 26375319489
BaseRepresentation
bin101001010111110…
…1101111001000000
310120202012220212220
41102233231321000
510320342143243
6345430451040
746254564150
oct12257557100
93522186786
101388240448
11652697661
12328b03a80
131917c206a
14d2530760
1581d20783
hex52bede40

1388240448 has 112 divisors (see below), whose sum is σ = 4277197440. Its totient is φ = 389136384.

The previous prime is 1388240431. The next prime is 1388240461. The reversal of 1388240448 is 8440428831.

1388240448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61488 + ... + 80976.

Almost surely, 21388240448 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 1388240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138598720).

1388240448 is an abundant number, since it is smaller than the sum of its proper divisors (2888956992).

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

1388240448 is a wasteful number, since it uses less digits than its factorization.

1388240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19564 (or 19554 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 1388240448 is about 37259.0988618888. The cubic root of 1388240448 is about 1115.5479213623.

The spelling of 1388240448 in words is "one billion, three hundred eighty-eight million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 19489 23744 35616 38978 58467 71232 77956 116934 136423 155912 233868 272846 311824 409269 467736 545692 623648 818538 935472 1032917 1091384 1247296 1637076 1870944 2065834 2182768 3098751 3274152 3741888 4131668 4365536 6197502 6548304 7230419 8263336 8731072 12395004 13096608 14460838 16526672 21691257 24790008 26193216 28921676 33053344 43382514 49580016 57843352 66106688 86765028 99160032 115686704 173530056 198320064 231373408 347060112 462746816 694120224 1388240448