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3125650440 = 23351119312269
BaseRepresentation
bin1011101001001101…
…1010010000001000
322001211110111100010
42322103122100020
522400131303230
61234053311520
7140312406333
oct27223322010
98054414303
103125650440
111364391490
127329355a0
133aa739303
1421919361a
151346139b0
hexba4da408

3125650440 has 128 divisors (see below), whose sum is σ = 10283241600. Its totient is φ = 753745920.

The previous prime is 3125650439. The next prime is 3125650441. The reversal of 3125650440 is 440565213.

It is an interprime number because it is at equal distance from previous prime (3125650439) and next prime (3125650441).

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

It is a junction number, because it is equal to n+sod(n) for n = 3125650398 and 3125650407.

It is not an unprimeable number, because it can be changed into a prime (3125650441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248626 + ... + 260894.

It is an arithmetic number, because the mean of its divisors is an integer number (80337825).

Almost surely, 23125650440 is an apocalyptic number.

3125650440 is a gapful number since it is divisible by the number (30) 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 3125650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141620800).

3125650440 is an abundant number, since it is smaller than the sum of its proper divisors (7157591160).

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

3125650440 is a wasteful number, since it uses less digits than its factorization.

3125650440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3125650440 is about 55907.5168470216. The cubic root of 3125650440 is about 1462.1102966349.

The spelling of 3125650440 in words is "three billion, one hundred twenty-five million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5790 6369 7720 8492 10615 11580 12269 12738 16984 21230 23160 24538 25476 31845 36807 42460 49076 50952 61345 63690 73614 84920 98152 122690 127380 134959 147228 184035 245380 254760 269918 294456 368070 404877 490760 539836 674795 736140 809754 1079672 1349590 1472280 1619508 2024385 2367917 2699180 3239016 4048770 4735834 5398360 7103751 8097540 9471668 11839585 14207502 16195080 18943336 23679170 26047087 28415004 35518755 47358340 52094174 56830008 71037510 78141261 94716680 104188348 130235435 142075020 156282522 208376696 260470870 284150040 312565044 390706305 520941740 625130088 781412610 1041883480 1562825220 3125650440