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244992096 = 25323783277
BaseRepresentation
bin11101001101001…
…00100001100000
3122001222212222100
432212210201200
51000204221341
640151010400
76033253446
oct1646444140
9561885870
10244992096
11116323208
126a069a00
133b9ab14b
1424774b96
15167953b6
hexe9a4860

244992096 has 144 divisors (see below), whose sum is σ = 726760944. Its totient is φ = 78216192.

The previous prime is 244992089. The next prime is 244992119. The reversal of 244992096 is 690299442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2449920962 = 120042254204946432, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884310 + ... + 884586.

It is an arithmetic number, because the mean of its divisors is an integer number (5046951).

Almost surely, 2244992096 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 244992096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363380472).

244992096 is an abundant number, since it is smaller than the sum of its proper divisors (481768848).

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

244992096 is a wasteful number, since it uses less digits than its factorization.

244992096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 244992096 is about 15652.2233564436. The cubic root of 244992096 is about 625.7257455300.

The spelling of 244992096 in words is "two hundred forty-four million, nine hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 83 96 111 144 148 166 222 249 277 288 296 332 333 444 498 554 592 664 666 747 831 888 996 1108 1184 1328 1332 1494 1662 1776 1992 2216 2493 2656 2664 2988 3071 3324 3552 3984 4432 4986 5328 5976 6142 6648 7968 8864 9213 9972 10249 10656 11952 12284 13296 18426 19944 20498 22991 23904 24568 26592 27639 30747 36852 39888 40996 45982 49136 55278 61494 68973 73704 79776 81992 91964 92241 98272 110556 122988 137946 147408 163984 183928 184482 206919 221112 245976 275892 294816 327968 367856 368964 413838 442224 491952 551784 735712 737928 827676 850667 884448 983904 1103568 1475856 1655352 1701334 2207136 2552001 2951712 3310704 3402668 5104002 6621408 6805336 7656003 10208004 13610672 15312006 20416008 27221344 30624012 40832016 61248024 81664032 122496048 244992096