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4155227456 = 26596011831
BaseRepresentation
bin1111011110101011…
…1011110101000000
3101201120210102111012
43313222323311000
532002214234311
61524152540052
7204653564522
oct36752736500
911646712435
104155227456
111842576986
1297b6b1628
13512b30a93
142b5bdda12
15194bd878b
hexf7abbd40

4155227456 has 56 divisors (see below), whose sum is σ = 8403823680. Its totient is φ = 2037888000.

The previous prime is 4155227443. The next prime is 4155227467. The reversal of 4155227456 is 6547225514.

It is a super-2 number, since 2×41552274562 = 34531830422192463872, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2268461 + ... + 2270291.

It is an arithmetic number, because the mean of its divisors is an integer number (150068280).

Almost surely, 24155227456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201911840).

4155227456 is an abundant number, since it is smaller than the sum of its proper divisors (4248596224).

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

4155227456 is a wasteful number, since it uses less digits than its factorization.

4155227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2493 counting only the distinct ones).

The product of its digits is 336000, while the sum is 41.

The square root of 4155227456 is about 64461.0537921930. The cubic root of 4155227456 is about 1607.6750331318.

The spelling of 4155227456 in words is "four billion, one hundred fifty-five million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 601 944 1202 1831 1888 2404 3662 3776 4808 7324 9616 14648 19232 29296 35459 38464 58592 70918 108029 117184 141836 216058 283672 432116 567344 864232 1100431 1134688 1728464 2200862 2269376 3456928 4401724 6913856 8803448 17606896 35213792 64925429 70427584 129850858 259701716 519403432 1038806864 2077613728 4155227456