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3898066272 = 253174355547
BaseRepresentation
bin1110100001010111…
…1100010101100000
3101001122220021122220
43220111330111200
530440401110042
61442445031040
7165412005462
oct35025742540
911048807586
103898066272
1117203a1981
12909555480
134a17819b9
1428d9bc132
1517c33c8ec
hexe857c560

3898066272 has 96 divisors (see below), whose sum is σ = 11086492032. Its totient is φ = 1194461184.

The previous prime is 3898066259. The next prime is 3898066283. The reversal of 3898066272 is 2726608983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 42403 + ... + 97949.

It is an arithmetic number, because the mean of its divisors is an integer number (115484292).

Almost surely, 23898066272 is an apocalyptic number.

3898066272 is a gapful number since it is divisible by the number (32) 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 3898066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543246016).

3898066272 is an abundant number, since it is smaller than the sum of its proper divisors (7188425760).

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

3898066272 is a wasteful number, since it uses less digits than its factorization.

3898066272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55620 (or 55612 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3898066272 is about 62434.4958496503. The cubic root of 3898066272 is about 1573.8007192917.

The spelling of 3898066272 in words is "three billion, eight hundred ninety-eight million, sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2924 4128 4386 5848 8772 11696 17544 23392 35088 55547 70176 111094 166641 222188 333282 444376 666564 888752 944299 1333128 1777504 1888598 2388521 2666256 2832897 3777196 4777042 5332512 5665794 7165563 7554392 9554084 11331588 14331126 15108784 19108168 22663176 28662252 30217568 38216336 40604857 45326352 57324504 76432672 81209714 90652704 114649008 121814571 162419428 229298016 243629142 324838856 487258284 649677712 974516568 1299355424 1949033136 3898066272