Search a number
-
+
5402061756 = 22327132775953
BaseRepresentation
bin1010000011111110…
…01110101110111100
3111221110221011121100
411001333032232330
542030411434011
62252012533100
7250603524120
oct50177165674
914843834540
105402061756
112322360a53
121069181190
13681242760
14393641580
152193c5d56
hex141fcebbc

5402061756 has 144 divisors (see below), whose sum is σ = 16869920704. Its totient is φ = 1419337728.

The previous prime is 5402061737. The next prime is 5402061787. The reversal of 5402061756 is 6571602045.

It is a happy number.

5402061756 is a `hidden beast` number, since 540 + 2 + 0 + 61 + 7 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5402061756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904476 + ... + 910428.

Almost surely, 25402061756 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 5402061756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8434960352).

5402061756 is an abundant number, since it is smaller than the sum of its proper divisors (11467858948).

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

5402061756 is a wasteful number, since it uses less digits than its factorization.

5402061756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5402061756 is about 73498.7194174157. The cubic root of 5402061756 is about 1754.6338964101.

The spelling of 5402061756 in words is "five billion, four hundred two million, sixty-one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 277 364 468 546 554 819 831 1092 1108 1638 1662 1939 2493 3276 3324 3601 3878 4986 5817 5953 7202 7756 9972 10803 11634 11906 14404 17451 17859 21606 23268 23812 25207 32409 34902 35718 41671 43212 50414 53577 64818 69804 71436 75621 77389 83342 100828 107154 125013 129636 151242 154778 166684 214308 226863 232167 250026 302484 309556 375039 453726 464334 500052 541723 696501 750078 907452 928668 1083446 1393002 1500156 1625169 1648981 2166892 2786004 3250338 3297962 4875507 4946943 6500676 6595924 9751014 9893886 11542867 14840829 19502028 19787772 21436753 23085734 29681658 34628601 42873506 46171468 59363316 64310259 69257202 85747012 103885803 128620518 138514404 150057271 192930777 207771606 257241036 300114542 385861554 415543212 450171813 600229084 771723108 900343626 1350515439 1800687252 2701030878 5402061756