Search a number
-
+
1542625380 = 2232579710753
BaseRepresentation
bin101101111110010…
…1001100001100100
310222111201111012100
41123330221201210
511124403003010
6413023452100
753141046042
oct13374514144
93874644170
101542625380
1172185430a
12370757030
131b7797aaa
14108c3b392
15906692c0
hex5bf29864

1542625380 has 72 divisors (see below), whose sum is σ = 4685603832. Its totient is φ = 410812416.

The previous prime is 1542625363. The next prime is 1542625393. The reversal of 1542625380 is 835262451.

1542625380 is a `hidden beast` number, since 1 + 542 + 62 + 53 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478821924 + 1063803456 = 21882^2 + 32616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138084 + ... + 148836.

It is an arithmetic number, because the mean of its divisors is an integer number (65077831).

Almost surely, 21542625380 is an apocalyptic number.

1542625380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1542625380 is an abundant number, since it is smaller than the sum of its proper divisors (3142978452).

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

1542625380 is a wasteful number, since it uses less digits than its factorization.

1542625380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11565 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1542625380 is about 39276.2699349111. The cubic root of 1542625380 is about 1155.4562092778.

The spelling of 1542625380 in words is "one billion, five hundred forty-two million, six hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1594 2391 3188 3985 4782 7173 7970 9564 10753 11955 14346 15940 21506 23910 28692 32259 35865 43012 47820 53765 64518 71730 96777 107530 129036 143460 161295 193554 215060 322590 387108 483885 645180 967770 1935540 8570141 17140282 25710423 34280564 42850705 51420846 77131269 85701410 102841692 128552115 154262538 171402820 257104230 308525076 385656345 514208460 771312690 1542625380