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4054345232 = 2471729101727
BaseRepresentation
bin1111000110101000…
…0110011000010000
3101110112222002002112
43301222012120100
531300403021412
61510150404452
7202320236330
oct36152063020
911415862075
104054345232
1117a0632643
12951960728
134c7c6b862
142a665d0c0
1518ae0c722
hexf1a86610

4054345232 has 160 divisors (see below), whose sum is σ = 9944363520. Its totient is φ = 1561190400.

The previous prime is 4054345213. The next prime is 4054345241. The reversal of 4054345232 is 2325434504.

It is a super-2 number, since 2×40543452322 = 32875430520482267648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5576453 + ... + 5577179.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 24054345232 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 4054345232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

4054345232 is an abundant number, since it is smaller than the sum of its proper divisors (5890018288).

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

4054345232 is a wasteful number, since it uses less digits than its factorization.

4054345232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 4054345232 is about 63673.7405215054. The cubic root of 4054345232 is about 1594.5577115069.

Adding to 4054345232 its reverse (2325434504), we get a palindrome (6379779736).

The spelling of 4054345232 in words is "four billion, fifty-four million, three hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 101 112 116 119 136 202 203 232 238 272 404 406 464 476 493 707 727 808 812 952 986 1414 1454 1616 1624 1717 1904 1972 2828 2908 2929 3248 3434 3451 3944 5089 5656 5816 5858 6868 6902 7888 10178 11312 11632 11716 12019 12359 13736 13804 20356 20503 21083 23432 24038 24718 27472 27608 40712 41006 42166 46864 48076 49436 49793 55216 73427 81424 82012 84332 86513 96152 98872 99586 146854 147581 164024 168664 173026 192304 197744 199172 293708 295162 328048 337328 346052 348551 358411 398344 513989 587416 590324 692104 697102 716822 796688 1027978 1174832 1180648 1248259 1384208 1394204 1433644 2055956 2129383 2361296 2496518 2508877 2788408 2867288 4111912 4258766 4993036 5017754 5576816 5734576 8223824 8517532 8737813 9986072 10035508 14905681 17035064 17475626 19972144 20071016 29811362 34070128 34951252 36199511 40142032 59622724 69902504 72399022 119245448 139805008 144798044 238490896 253396577 289596088 506793154 579192176 1013586308 2027172616 4054345232