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2525344320 = 26353184857
BaseRepresentation
bin1001011010000101…
…1011001001000000
320111222212210011010
42112201123021000
520132442004240
61054330520520
7116403033612
oct22641331100
96458783133
102525344320
111086544624
125a5896140
133132642a5
1419d56adb2
15eba85280
hex9685b240

2525344320 has 112 divisors (see below), whose sum is σ = 8276709888. Its totient is φ = 651694080.

The previous prime is 2525344303. The next prime is 2525344333. The reversal of 2525344320 is 234435252.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12669 + ... + 72188.

Almost surely, 22525344320 is an apocalyptic number.

2525344320 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 2525344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138354944).

2525344320 is an abundant number, since it is smaller than the sum of its proper divisors (5751365568).

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

2525344320 is a wasteful number, since it uses less digits than its factorization.

2525344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84908 (or 84898 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2525344320 is about 50252.8041008659. The cubic root of 2525344320 is about 1361.7797345635.

Adding to 2525344320 its reverse (234435252), we get a palindrome (2759779572).

The spelling of 2525344320 in words is "two billion, five hundred twenty-five million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 84857 169714 254571 339428 424285 509142 678856 848570 1018284 1272855 1357712 1697140 2036568 2545710 2630567 2715424 3394280 4073136 5091420 5261134 5430848 6788560 7891701 8146272 10182840 10522268 13152835 13577120 15783402 16292544 20365680 21044536 26305670 27154240 31566804 39458505 40731360 42089072 52611340 63133608 78917010 81462720 84178144 105222680 126267216 157834020 168356288 210445360 252534432 315668040 420890720 505068864 631336080 841781440 1262672160 2525344320