Search a number
-
+
1542548540 = 2251323325463
BaseRepresentation
bin101101111110001…
…0110110000111100
310222111120120210102
41123330112300330
511124343023130
6413022100232
753140306031
oct13374266074
93874516712
101542548540
11721801605
1237071a678
131b776bb20
14108c1b388
1590651645
hex5bf16c3c

1542548540 has 48 divisors (see below), whose sum is σ = 3503642688. Its totient is φ = 567089664.

The previous prime is 1542548479. The next prime is 1542548563. The reversal of 1542548540 is 458452451.

It is a happy number.

It is a super-2 number, since 2×15425485402 = 4758911996512263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1542548494 and 1542548503.

It is a congruent number.

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, 47849 + ... + 73311.

It is an arithmetic number, because the mean of its divisors is an integer number (72992556).

Almost surely, 21542548540 is an apocalyptic number.

1542548540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542548540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751821344).

1542548540 is an abundant number, since it is smaller than the sum of its proper divisors (1961094148).

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

1542548540 is a wasteful number, since it uses less digits than its factorization.

1542548540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25718 (or 25716 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The square root of 1542548540 is about 39275.2917239325. The cubic root of 1542548540 is about 1155.4370240778.

The spelling of 1542548540 in words is "one billion, five hundred forty-two million, five hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 932 1165 2330 3029 4660 6058 12116 15145 25463 30290 50926 60580 101852 127315 254630 331019 509260 662038 1324076 1655095 3310190 5932879 6620380 11865758 23731516 29664395 59328790 77127427 118657580 154254854 308509708 385637135 771274270 1542548540