Search a number
-
+
2532045564 = 22321929127649
BaseRepresentation
bin1001011011101011…
…1111001011111100
320112110111020112100
42112322333023330
520141200424224
61055130305100
7116514014016
oct22672771374
96473436470
102532045564
11108a301344
125a7b88190
1331476c519
141a03d31b6
15ec45aac9
hex96ebf2fc

2532045564 has 72 divisors (see below), whose sum is σ = 6969690000. Its totient is φ = 772015104.

The previous prime is 2532045541. The next prime is 2532045577. The reversal of 2532045564 is 4655402352.

2532045564 is a `hidden beast` number, since 2 + 53 + 2 + 0 + 45 + 564 = 666.

It is a super-2 number, since 2×25320455642 = 12822509476344156192, which contains 22 as substring.

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

It is a congruent number.

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, 43989 + ... + 83660.

It is an arithmetic number, because the mean of its divisors is an integer number (96801250).

Almost surely, 22532045564 is an apocalyptic number.

It is an amenable number.

2532045564 is an abundant number, since it is smaller than the sum of its proper divisors (4437644436).

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

2532045564 is a wasteful number, since it uses less digits than its factorization.

2532045564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127707 (or 127702 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2532045564 is about 50319.4352512029. The cubic root of 2532045564 is about 1362.9832085057.

The spelling of 2532045564 in words is "two billion, five hundred thirty-two million, forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19836 127649 255298 382947 510596 765894 1148841 1531788 2297682 2425331 3701821 4595364 4850662 7275993 7403642 9701324 11105463 14551986 14807284 21827979 22210926 29103972 33316389 43655958 44421852 66632778 70334599 87311916 133265556 140669198 211003797 281338396 422007594 633011391 844015188 1266022782 2532045564