Search a number
-
+
2545125620 = 2251979149569
BaseRepresentation
bin1001011110110011…
…1000100011110100
320120101002202222212
42113230320203310
520203023004440
61100314512552
7120033132212
oct22754704364
96511082885
102545125620
111096725604
125b0435758
1331739bcbb
141a2039cb2
15ed691465
hex97b388f4

2545125620 has 96 divisors (see below), whose sum is σ = 5745600000. Its totient is φ = 944206848.

The previous prime is 2545125599. The next prime is 2545125629. The reversal of 2545125620 is 265215452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545125629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4472696 + ... + 4473264.

It is an arithmetic number, because the mean of its divisors is an integer number (59850000).

Almost surely, 22545125620 is an apocalyptic number.

2545125620 is a gapful number since it is divisible by the number (20) 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 2545125620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800000).

2545125620 is an abundant number, since it is smaller than the sum of its proper divisors (3200474380).

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

2545125620 is a wasteful number, since it uses less digits than its factorization.

2545125620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2545125620 is about 50449.2380517288. The cubic root of 2545125620 is about 1365.3261476509.

The spelling of 2545125620 in words is "two billion, five hundred forty-five million, one hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 149 158 190 298 316 380 395 569 596 745 790 1138 1490 1501 1580 2276 2831 2845 2980 3002 5662 5690 6004 7505 10811 11324 11380 11771 14155 15010 21622 23542 28310 30020 43244 44951 47084 54055 56620 58855 84781 89902 108110 117710 169562 179804 216220 223649 224755 235420 339124 423905 447298 449510 847810 854069 894596 899020 1118245 1610839 1695620 1708138 2236490 3221678 3416276 4270345 4472980 6443356 6697699 8054195 8540690 13395398 16108390 17081380 26790796 32216780 33488495 66976990 127256281 133953980 254512562 509025124 636281405 1272562810 2545125620