Search a number
-
+
5746374528 = 273671491499
BaseRepresentation
bin1010101101000001…
…01011011110000000
3112211110211001221020
411112200223132000
543232032441103
62350112425440
7262254243336
oct52640533600
915743731836
105746374528
112489751264
121144548280
1370768711b
143c726bb56
15239739753
hex15682b780

5746374528 has 128 divisors (see below), whose sum is σ = 15606000000. Its totient is φ = 1872955392.

The previous prime is 5746374523. The next prime is 5746374541. The reversal of 5746374528 is 8254736475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5746374523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832723 + ... + 3834221.

It is an arithmetic number, because the mean of its divisors is an integer number (121921875).

Almost surely, 25746374528 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 5746374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803000000).

5746374528 is an abundant number, since it is smaller than the sum of its proper divisors (9859625472).

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

5746374528 is a wasteful number, since it uses less digits than its factorization.

5746374528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1720 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The square root of 5746374528 is about 75804.8450166610. The cubic root of 5746374528 is about 1791.1473276565.

The spelling of 5746374528 in words is "five billion, seven hundred forty-six million, three hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 149 192 201 268 298 384 402 447 536 596 804 894 1072 1192 1499 1608 1788 2144 2384 2998 3216 3576 4288 4497 4768 5996 6432 7152 8576 8994 9536 9983 11992 12864 14304 17988 19072 19966 23984 25728 28608 29949 35976 39932 47968 57216 59898 71952 79864 95936 100433 119796 143904 159728 191872 200866 223351 239592 287808 301299 319456 401732 446702 479184 575616 602598 638912 670053 803464 893404 958368 1205196 1277824 1340106 1606928 1786808 1916736 2410392 2680212 3213856 3573616 3833472 4820784 5360424 6427712 7147232 9641568 10720848 12855424 14294464 14964517 19283136 21441696 28588928 29929034 38566272 42883392 44893551 59858068 85766784 89787102 119716136 179574204 239432272 359148408 478864544 718296816 957729088 1436593632 1915458176 2873187264 5746374528