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5392311408 = 2432117147947
BaseRepresentation
bin1010000010110100…
…00010010001110000
3111220210120210122100
411001122002101300
542020412431113
62251023540400
7250424614341
oct50132022160
914823523570
105392311408
112317901410
121065a5a700
1367c20a713
143922240c8
152185ebd73
hex141682470

5392311408 has 120 divisors (see below), whose sum is σ = 16695110016. Its totient is φ = 1610985600.

The previous prime is 5392311391. The next prime is 5392311409. The reversal of 5392311408 is 8041132935.

5392311408 is a `hidden beast` number, since 539 + 2 + 3 + 114 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5392311409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88491 + ... + 136437.

Almost surely, 25392311408 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 5392311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347555008).

5392311408 is an abundant number, since it is smaller than the sum of its proper divisors (11302798608).

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

5392311408 is a wasteful number, since it uses less digits than its factorization.

5392311408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48043 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5392311408 is about 73432.3594064633. The cubic root of 5392311408 is about 1753.5775963464.

The spelling of 5392311408 in words is "five billion, three hundred ninety-two million, three hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 2343 2556 3124 3408 4686 5112 6248 7029 9372 10224 12496 14058 18744 28116 37488 47947 56232 95894 112464 143841 191788 287682 383576 431523 527417 575364 767152 863046 1054834 1150728 1582251 1726092 2109668 2301456 3164502 3404237 3452184 4219336 4746753 6329004 6808474 6904368 8438672 9493506 10212711 12658008 13616948 18987012 20425422 25316016 27233896 30638133 37446607 37974024 40850844 54467792 61276266 74893214 75948048 81701688 112339821 122552532 149786428 163403376 224679642 245105064 299572856 337019463 449359284 490210128 599145712 674038926 898718568 1348077852 1797437136 2696155704 5392311408