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1025000000 = 265841
BaseRepresentation
bin111101000110000…
…100001001000000
32122102201101122222
4331012010021000
54044400000000
6245413150212
734254233123
oct7506041100
92572641588
101025000000
11486649742
1224732b368
1313448139b
149a1b83ba
155eebda85
hex3d184240

1025000000 has 126 divisors (see below), whose sum is σ = 2604490854. Its totient is φ = 400000000.

The previous prime is 1024999999. The next prime is 1025000051. The reversal of 1025000000 is 5201.

It can be written as a sum of positive squares in 9 ways, for example, as 106667584 + 918332416 = 10328^2 + 30304^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24999980 + ... + 25000020.

Almost surely, 21025000000 is an apocalyptic number.

1025000000 is a gapful number since it is divisible by the number (10) 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 1025000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302245427).

1025000000 is an abundant number, since it is smaller than the sum of its proper divisors (1579490854).

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

1025000000 is an frugal number, since it uses more digits than its factorization.

1025000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1025000000 is about 32015.6211871642. The cubic root of 1025000000 is about 1008.2648376091.

Adding to 1025000000 its reverse (5201), we get a palindrome (1025005201).

The spelling of 1025000000 in words is "one billion, twenty-five million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3125 3280 4000 4100 5000 5125 6250 6560 8000 8200 10000 10250 12500 13120 15625 16400 20000 20500 25000 25625 31250 32800 40000 41000 50000 51250 62500 65600 78125 82000 100000 102500 125000 128125 156250 164000 200000 205000 250000 256250 312500 328000 390625 410000 500000 512500 625000 640625 781250 820000 1000000 1025000 1250000 1281250 1562500 1640000 2050000 2500000 2562500 3125000 3203125 4100000 5000000 5125000 6250000 6406250 8200000 10250000 12500000 12812500 16015625 20500000 25000000 25625000 32031250 41000000 51250000 64062500 102500000 128125000 205000000 256250000 512500000 1025000000