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1398745152 = 26337115637
BaseRepresentation
bin101001101011111…
…0010100001000000
310121110222121122000
41103113302201000
510331034321102
6350443544000
746443065130
oct12327624100
93543877560
101398745152
11658611a32
1233052b000
13193a2c56c
14d3aa6ac0
1582be801c
hex535f2840

1398745152 has 112 divisors (see below), whose sum is σ = 4699528320. Its totient is φ = 399638016.

The previous prime is 1398745129. The next prime is 1398745157. The reversal of 1398745152 is 2515478931.

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

It is a junction number, because it is equal to n+sod(n) for n = 1398745098 and 1398745107.

It is not an unprimeable number, because it can be changed into a prime (1398745157) 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 15 ways as a sum of consecutive naturals, for example, 45723 + ... + 69914.

Almost surely, 21398745152 is an apocalyptic number.

1398745152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1398745152 is an abundant number, since it is smaller than the sum of its proper divisors (3300783168).

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

1398745152 is a wasteful number, since it uses less digits than its factorization.

1398745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115665 (or 115649 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1398745152 is about 37399.8014967994. The cubic root of 1398745152 is about 1118.3546077471.

The spelling of 1398745152 in words is "one billion, three hundred ninety-eight million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 115637 231274 346911 462548 693822 809459 925096 1040733 1387644 1618918 1850192 2081466 2428377 2775288 3122199 3237836 3700384 4162932 4856754 5550576 6244398 6475672 7285131 7400768 8325864 9713508 11101152 12488796 12951344 14570262 16651728 19427016 21855393 22202304 24977592 25902688 29140524 33303456 38854032 43710786 49955184 51805376 58281048 66606912 77708064 87421572 99910368 116562096 155416128 174843144 199820736 233124192 349686288 466248384 699372576 1398745152