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749055216 = 243713223769
BaseRepresentation
bin101100101001011…
…010110011110000
31221012110221120210
4230221122303300
53013224231331
6202154504120
724363602310
oct5451326360
91835427523
10749055216
113549052a8
1218aa35040
13bc256750
14716a7440
1545b62446
hex2ca5acf0

749055216 has 160 divisors (see below), whose sum is σ = 2395402240. Its totient is φ = 196411392.

The previous prime is 749055193. The next prime is 749055277. The reversal of 749055216 is 612550947.

749055216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7490552162 = 1122167433233613312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973680 + ... + 974448.

It is an arithmetic number, because the mean of its divisors is an integer number (14971264).

Almost surely, 2749055216 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 749055216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197701120).

749055216 is an abundant number, since it is smaller than the sum of its proper divisors (1646347024).

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

749055216 is a wasteful number, since it uses less digits than its factorization.

749055216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 749055216 is about 27368.8731225822. The cubic root of 749055216 is about 908.1786280044.

The spelling of 749055216 in words is "seven hundred forty-nine million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 223 273 312 336 364 446 546 624 669 728 769 892 1092 1338 1456 1538 1561 1784 2184 2307 2676 2899 3076 3122 3568 4368 4614 4683 5352 5383 5798 6152 6244 8697 9228 9366 9997 10704 10766 11596 12304 12488 16149 17394 18456 18732 19994 20293 21532 23192 24976 29991 32298 34788 36912 37464 39988 40586 43064 46384 59982 60879 64596 69576 69979 74928 79976 81172 86128 119964 121758 129192 139152 139958 159952 162344 171487 209937 239928 243516 258384 279916 324688 342974 419874 479856 487032 514461 559832 685948 839748 974064 1028922 1119664 1200409 1371896 1679496 2057844 2229331 2400818 2743792 3358992 3601227 4115688 4458662 4801636 6687993 7202454 8231376 8917324 9603272 13375986 14404908 15605317 17834648 19206544 26751972 28809816 31210634 35669296 46815951 53503944 57619632 62421268 93631902 107007888 124842536 187263804 249685072 374527608 749055216