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4589138100 = 2235217899831
BaseRepresentation
bin1000100011000100…
…01011000010110100
3102211211021100222210
410101202023002310
533344304404400
62035213053420
7221503013241
oct42142130264
912754240883
104589138100
111a454a3418
12a80a87270
135819b6341
143176b05c8
151bcd49950
hex11188b0b4

4589138100 has 72 divisors (see below), whose sum is σ = 14058975168. Its totient is φ = 1151782400.

The previous prime is 4589138053. The next prime is 4589138107. The reversal of 4589138100 is 18319854.

It is a super-2 number, since 2×45891381002 = 42120377001743220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4589138107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444816 + ... + 455015.

It is an arithmetic number, because the mean of its divisors is an integer number (195263544).

Almost surely, 24589138100 is an apocalyptic number.

It is an amenable number.

4589138100 is an abundant number, since it is smaller than the sum of its proper divisors (9469837068).

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

4589138100 is a wasteful number, since it uses less digits than its factorization.

4589138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899865 (or 899858 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 4589138100 is about 67743.1775162636. The cubic root of 4589138100 is about 1661.7934480429.

The spelling of 4589138100 in words is "four billion, five hundred eighty-nine million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 899831 1799662 2699493 3599324 4499155 5398986 8998310 10797972 13497465 15297127 17996620 22495775 26994930 30594254 44991550 45891381 53989860 61188508 67487325 76485635 89983100 91782762 134974650 152971270 183565524 229456905 269949300 305942540 382428175 458913810 764856350 917827620 1147284525 1529712700 2294569050 4589138100