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2491353072 = 243313547811
BaseRepresentation
bin1001010001111111…
…0000011111110000
320102121220211221000
42110133300133300
520100241244242
61051114202000
7115511103015
oct22437603760
96377824830
102491353072
11106933848a
12596423300
133091c2720
14198c3d70c
15e8abda4c
hex947f07f0

2491353072 has 160 divisors (see below), whose sum is σ = 7724783360. Its totient is φ = 764225280.

The previous prime is 2491353071. The next prime is 2491353091. The reversal of 2491353072 is 2703531942.

2491353072 is a `hidden beast` number, since 2 + 49 + 13 + 530 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491353071) by changing a digit.

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, 3071547 + ... + 3072357.

It is an arithmetic number, because the mean of its divisors is an integer number (48279896).

Almost surely, 22491353072 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 2491353072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862391680).

2491353072 is an abundant number, since it is smaller than the sum of its proper divisors (5233430288).

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

2491353072 is a wasteful number, since it uses less digits than its factorization.

2491353072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2491353072 is about 49913.4558210509. The cubic root of 2491353072 is about 1355.6422425298.

The spelling of 2491353072 in words is "two billion, four hundred ninety-one million, three hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 547 624 702 811 936 1094 1404 1622 1641 1872 2188 2433 2808 3244 3282 4376 4866 4923 5616 6488 6564 7111 7299 8752 9732 9846 10543 12976 13128 14222 14598 14769 19464 19692 21086 21333 21897 26256 28444 29196 29538 31629 38928 39384 42172 42666 43794 56888 58392 59076 63258 63999 78768 84344 85332 87588 94887 113776 116784 118152 126516 127998 168688 170664 175176 189774 191997 236304 253032 255996 284661 341328 350352 379548 383994 443617 506064 511992 569322 759096 767988 887234 1023984 1138644 1330851 1518192 1535976 1774468 2277288 2661702 3071952 3548936 3992553 4554576 5323404 5767021 7097872 7985106 10646808 11534042 11977659 15970212 17301063 21293616 23068084 23955318 31940424 34602126 46136168 47910636 51903189 63880848 69204252 92272336 95821272 103806378 138408504 155709567 191642544 207612756 276817008 311419134 415225512 622838268 830451024 1245676536 2491353072