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4074268900 = 22521324912
BaseRepresentation
bin1111001011011000…
…0110100011100100
3101111221110022020011
43302312012203210
531321003101100
61512141420004
7202651466662
oct36266064344
911457408204
104074268900
111800900589
1295856a604
134cc126300
142a9167c32
1518ca45bba
hexf2d868e4

4074268900 has 81 divisors (see below), whose sum is σ = 9593105403. Its totient is φ = 1501281600.

The previous prime is 4074268831. The next prime is 4074268937. The reversal of 4074268900 is 98624704.

The square root of 4074268900 is 63830.

It is a perfect power (a square), and thus also a powerful number.

4074268900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1050148836 + 3024120064 = 32406^2 + 54992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8297655 + ... + 8298145.

Almost surely, 24074268900 is an apocalyptic number.

4074268900 is the 63830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074268900

4074268900 is an abundant number, since it is smaller than the sum of its proper divisors (5518836503).

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

4074268900 is a wasteful number, since it uses less digits than its factorization.

4074268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 4074268900 is about 1597.1654108433.

The spelling of 4074268900 in words is "four billion, seventy-four million, two hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 491 650 676 845 982 1300 1690 1964 2455 3380 4225 4910 6383 8450 9820 12275 12766 16900 24550 25532 31915 49100 63830 82979 127660 159575 165958 241081 319150 331916 414895 482162 638300 829790 964324 1205405 1659580 2074475 2410810 3134053 4148950 4821620 6027025 6268106 8297900 12054050 12536212 15670265 24108100 31340530 40742689 62681060 78351325 81485378 156702650 162970756 203713445 313405300 407426890 814853780 1018567225 2037134450 4074268900