Search a number
-
+
5406326688 = 253715153279
BaseRepresentation
bin1010000100011110…
…11111111110100000
3111221202221211222210
411002033133332200
542033004423223
62252244202120
7250655006250
oct50217377640
914852854883
105406326688
112324804294
12106a699340
136820a6a99
14394031960
15219969893
hex1423dffa0

5406326688 has 96 divisors (see below), whose sum is σ = 16326696960. Its totient is φ = 1534406400.

The previous prime is 5406326641. The next prime is 5406326699. The reversal of 5406326688 is 8866236045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 74833 + ... + 128111.

It is an arithmetic number, because the mean of its divisors is an integer number (170069760).

Almost surely, 25406326688 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 5406326688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163348480).

5406326688 is an abundant number, since it is smaller than the sum of its proper divisors (10920370272).

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

5406326688 is a wasteful number, since it uses less digits than its factorization.

5406326688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53450 (or 53442 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 5406326688 is about 73527.7273414594. The cubic root of 5406326688 is about 1755.0955365562.

The spelling of 5406326688 in words is "five billion, four hundred six million, three hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 12684 14496 16912 25368 33824 50736 53279 101472 106558 159837 213116 319674 372953 426232 639348 745906 852464 1118859 1278696 1491812 1704928 2237718 2557392 2983624 4475436 5114784 5967248 8045129 8950872 11934496 16090258 17901744 24135387 32180516 35803488 48270774 56315903 64361032 96541548 112631806 128722064 168947709 193083096 225263612 257444128 337895418 386166192 450527224 675790836 772332384 901054448 1351581672 1802108896 2703163344 5406326688