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4404055240 = 2351337228901
BaseRepresentation
bin1000001101000000…
…01000110011001000
3102100221000012001001
410012200020303020
533004414231430
62005002104344
7214064565124
oct40640106310
912327005031
104404055240
11195aa79982
12a2aaab0b4
13552552a60
142dac92584
151ab98a3ca
hex106808cc8

4404055240 has 64 divisors (see below), whose sum is σ = 10959827760. Its totient is φ = 1582156800.

The previous prime is 4404055219. The next prime is 4404055283. The reversal of 4404055240 is 425504044.

It can be written as a sum of positive squares in 8 ways, for example, as 3130850116 + 1273205124 = 55954^2 + 35682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4404055199 and 4404055208.

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, 95211 + ... + 133690.

Almost surely, 24404055240 is an apocalyptic number.

4404055240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404055240 is an abundant number, since it is smaller than the sum of its proper divisors (6555772520).

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

4404055240 is a wasteful number, since it uses less digits than its factorization.

4404055240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228962 (or 228958 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 4404055240 is about 66363.0562888720. The cubic root of 4404055240 is about 1639.1458024400.

Adding to 4404055240 its reverse (425504044), we get a palindrome (4829559284).

The spelling of 4404055240 in words is "four billion, four hundred four million, fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 228901 457802 915604 1144505 1831208 2289010 2975713 4578020 5951426 8469337 9156040 11902852 14878565 16938674 23805704 29757130 33877348 42346685 59514260 67754696 84693370 110101381 119028520 169386740 220202762 338773480 440405524 550506905 880811048 1101013810 2202027620 4404055240