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4749217452 = 22327411732657
BaseRepresentation
bin1000110110001001…
…10100111010101100
3110020222111020120200
410123010310322230
534211244424302
62103132113500
7225455453010
oct43304647254
913228436520
104749217452
11201789a401
12b06605890
135a8c03c55
14330a60540
151cbe1a81c
hex11b134eac

4749217452 has 144 divisors (see below), whose sum is σ = 14141155392. Its totient is φ = 1315676160.

The previous prime is 4749217423. The next prime is 4749217469. The reversal of 4749217452 is 2547129474.

4749217452 is a `hidden beast` number, since 47 + 492 + 1 + 74 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4749217398 and 4749217407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786108 + ... + 1788764.

It is an arithmetic number, because the mean of its divisors is an integer number (98202468).

Almost surely, 24749217452 is an apocalyptic number.

4749217452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4749217452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070577696).

4749217452 is an abundant number, since it is smaller than the sum of its proper divisors (9391937940).

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

4749217452 is a wasteful number, since it uses less digits than its factorization.

4749217452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2883 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4749217452 is about 68914.5663267208. The cubic root of 4749217452 is about 1680.8953857987.

The spelling of 4749217452 in words is "four billion, seven hundred forty-nine million, two hundred seventeen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 173 246 252 287 346 369 492 519 574 692 738 861 1038 1148 1211 1476 1557 1722 2076 2422 2583 2657 3114 3444 3633 4844 5166 5314 6228 7093 7266 7971 10332 10628 10899 14186 14532 15942 18599 21279 21798 23913 28372 31884 37198 42558 43596 47826 49651 55797 63837 74396 85116 95652 99302 108937 111594 127674 148953 167391 198604 217874 223188 255348 297906 326811 334782 435748 446859 459661 595812 653622 669564 762559 893718 919322 980433 1307244 1378983 1525118 1787436 1838644 1960866 2287677 2757966 3050236 3217627 3921732 4136949 4575354 5515932 6435254 6863031 8273898 9150708 9652881 12870508 13726062 16547796 18846101 19305762 27452124 28958643 37692202 38611524 56538303 57917286 75384404 113076606 115834572 131922707 169614909 226153212 263845414 339229818 395768121 527690828 678459636 791536242 1187304363 1583072484 2374608726 4749217452