Search a number
-
+
2078774958 = 231361894909
BaseRepresentation
bin111101111100111…
…1001011010101110
312100212120201011010
41323321321122232
513224131244313
6542135210050
7102341203251
oct17371713256
95325521133
102078774958
11977461437
124a0216926
13271898c70
1415a123098
15c27734c3
hex7be796ae

2078774958 has 64 divisors (see below), whose sum is σ = 4602830400. Its totient is φ = 621941760.

The previous prime is 2078774939. The next prime is 2078774963. The reversal of 2078774958 is 8594778702.

It is a junction number, because it is equal to n+sod(n) for n = 2078774898 and 2078774907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421008 + ... + 425916.

It is an arithmetic number, because the mean of its divisors is an integer number (71919225).

Almost surely, 22078774958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078774958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301415200).

2078774958 is an abundant number, since it is smaller than the sum of its proper divisors (2524055442).

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

2078774958 is a wasteful number, since it uses less digits than its factorization.

2078774958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077.

The product of its (nonzero) digits is 7902720, while the sum is 57.

The square root of 2078774958 is about 45593.5846145047. The cubic root of 2078774958 is about 1276.2502068446.

The spelling of 2078774958 in words is "two billion, seventy-eight million, seven hundred seventy-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 61 78 89 122 178 183 267 366 534 793 1157 1586 2314 2379 3471 4758 4909 5429 6942 9818 10858 14727 16287 29454 32574 63817 70577 127634 141154 191451 211731 299449 382902 423462 436901 598898 873802 898347 1310703 1796694 2621406 3892837 5679713 7785674 11359426 11678511 17039139 23357022 26650961 34078278 53301922 79952883 159905766 346462493 692924986 1039387479 2078774958