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4044684952 = 2371183239331
BaseRepresentation
bin1111000100010100…
…1111111010011000
3101102212210021200101
43301011033322120
531240414404302
61505203345144
7202142153260
oct36105177230
911385707611
104044684952
111796134740
1294a6821b4
134c5c68809
142a52667a0
1518a150287
hexf114fe98

4044684952 has 128 divisors (see below), whose sum is σ = 9638092800. Its totient is φ = 1545667200.

The previous prime is 4044684949. The next prime is 4044684961. The reversal of 4044684952 is 2594864404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12219427 + ... + 12219757.

It is an arithmetic number, because the mean of its divisors is an integer number (75297600).

Almost surely, 24044684952 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 4044684952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400).

4044684952 is an abundant number, since it is smaller than the sum of its proper divisors (5593407848).

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

4044684952 is a wasteful number, since it uses less digits than its factorization.

4044684952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The square root of 4044684952 is about 63597.8376361964. The cubic root of 4044684952 is about 1593.2902545303.

The spelling of 4044684952 in words is "four billion, forty-four million, six hundred eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 239 308 331 332 478 581 616 662 664 913 956 1162 1324 1673 1826 1912 2317 2324 2629 2648 3346 3641 3652 4634 4648 5258 6391 6692 7282 7304 9268 10516 12782 13384 14564 18403 18536 19837 21032 25487 25564 27473 29128 36806 39674 50974 51128 54946 73612 79109 79348 101948 109892 138859 147224 158218 158696 192311 203896 218207 219784 277718 302203 316436 384622 436414 553763 555436 604406 632872 769244 870199 872828 1107526 1110872 1208812 1527449 1538488 1740398 1745656 2115421 2215052 2417624 3054898 3480796 4230842 4430104 6091393 6109796 6566047 6961592 8461684 12182786 12219592 13132094 16923368 24365572 26264188 45962329 48731144 52528376 72226517 91924658 144453034 183849316 288906068 367698632 505585619 577812136 1011171238 2022342476 4044684952