Search a number
-
+
2545245440 = 28517116969
BaseRepresentation
bin1001011110110101…
…0101110100000000
320120101022212100122
42113231111310000
520203040323230
61100321235412
7120034141433
oct22755256400
96511285318
102545245440
1110967a7631
125b0492b68
133174116ba
141a206b81a
15ed6b6be5
hex97b55d00

2545245440 has 72 divisors (see below), whose sum is σ = 6455340360. Its totient is φ = 958201856.

The previous prime is 2545245433. The next prime is 2545245499. The reversal of 2545245440 is 445425452.

It can be written as a sum of positive squares in 4 ways, for example, as 1192182784 + 1353062656 = 34528^2 + 36784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2545245440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36725 + ... + 80244.

It is an arithmetic number, because the mean of its divisors is an integer number (89657505).

Almost surely, 22545245440 is an apocalyptic number.

2545245440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545245440 is an abundant number, since it is smaller than the sum of its proper divisors (3910094920).

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

2545245440 is a wasteful number, since it uses less digits than its factorization.

2545245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117007 (or 116993 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The square root of 2545245440 is about 50450.4255680762. The cubic root of 2545245440 is about 1365.3475730259.

The spelling of 2545245440 in words is "two billion, five hundred forty-five million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 116969 233938 467876 584845 935752 1169690 1871504 1988473 2339380 3743008 3976946 4678760 7486016 7953892 9357520 9942365 14972032 15907784 18715040 19884730 29944064 31815568 37430080 39769460 63631136 74860160 79538920 127262272 149720320 159077840 254524544 318155680 509049088 636311360 1272622720 2545245440