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4055555504 = 24711131811399
BaseRepresentation
bin1111000110111010…
…1101110110110000
3101110122020120021102
43301232231312300
531301210234004
61510232343532
7202333436660
oct36156556660
911418216242
104055555504
1117a1289970
12952244ba8
134c82a36b0
142a68961a0
1518b09b11e
hexf1baddb0

4055555504 has 160 divisors (see below), whose sum is σ = 10615987200. Its totient is φ = 1449446400.

The previous prime is 4055555461. The next prime is 4055555521.

4055555504 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898197 + ... + 2899595.

It is an arithmetic number, because the mean of its divisors is an integer number (66349920).

Almost surely, 24055555504 is an apocalyptic number.

4055555504 is a gapful number since it is divisible by the number (44) 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 4055555504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307993600).

4055555504 is an abundant number, since it is smaller than the sum of its proper divisors (6560431696).

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

4055555504 is a wasteful number, since it uses less digits than its factorization.

4055555504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 38.

The square root of 4055555504 is about 63683.2435103615. The cubic root of 4055555504 is about 1594.7163607621.

The spelling of 4055555504 in words is "four billion, fifty-five million, five hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 181 182 208 286 308 362 364 572 616 724 728 1001 1144 1232 1267 1399 1448 1456 1991 2002 2288 2353 2534 2798 2896 3982 4004 4706 5068 5596 7964 8008 9412 9793 10136 11192 13937 15389 15928 16016 16471 18187 18824 19586 20272 22384 25883 27874 30778 31856 32942 36374 37648 39172 51766 55748 61556 65884 72748 78344 103532 107723 111496 123112 127309 131768 145496 156688 181181 200057 207064 215446 222992 246224 253219 254618 263536 290992 362362 400114 414128 430892 506438 509236 724724 800228 861784 1012876 1018472 1400399 1449448 1600456 1723568 1772533 2025752 2036944 2785409 2800798 2898896 3200912 3291847 3545066 4051504 5570818 5601596 6583694 7090132 11141636 11203192 13167388 14180264 19497863 22283272 22406384 23042929 26334776 28360528 36210317 38995726 44566544 46085858 52669552 72420634 77991452 92171716 144841268 155982904 184343432 253472219 289682536 311965808 368686864 506944438 579365072 1013888876 2027777752 4055555504