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2747465728 = 216753113
BaseRepresentation
bin1010001111000011…
…0000000000000000
321002110211201102221
42203300300000000
521111322400403
61132343420424
7125041034110
oct24360600000
97073751387
102747465728
11118a966737
12648154714
1334a295487
141c0c6b040
1511130ddbd
hexa3c30000

2747465728 has 136 divisors (see below), whose sum is σ = 6454984608. Its totient is φ = 1145044992.

The previous prime is 2747465723. The next prime is 2747465729. The reversal of 2747465728 is 8275647472.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2747465723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24313800 + ... + 24313912.

Almost surely, 22747465728 is an apocalyptic number.

2747465728 is a gapful number since it is divisible by the number (28) 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 2747465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227492304).

2747465728 is an abundant number, since it is smaller than the sum of its proper divisors (3707518880).

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

2747465728 is an frugal number, since it uses more digits than its factorization.

2747465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 52.

The square root of 2747465728 is about 52416.2735035599. The cubic root of 2747465728 is about 1400.5891615524.

The spelling of 2747465728 in words is "two billion, seven hundred forty-seven million, four hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 113 128 212 224 226 256 371 424 448 452 512 742 791 848 896 904 1024 1484 1582 1696 1792 1808 2048 2968 3164 3392 3584 3616 4096 5936 5989 6328 6784 7168 7232 8192 11872 11978 12656 13568 14336 14464 16384 23744 23956 25312 27136 28672 28928 32768 41923 47488 47912 50624 54272 57344 57856 65536 83846 94976 95824 101248 108544 114688 115712 167692 189952 191648 202496 217088 229376 231424 335384 379904 383296 404992 434176 458752 462848 670768 759808 766592 809984 868352 925696 1341536 1519616 1533184 1619968 1736704 1851392 2683072 3039232 3066368 3239936 3473408 3702784 5366144 6078464 6132736 6479872 7405568 10732288 12156928 12265472 12959744 21464576 24313856 24530944 25919488 42929152 49061888 51838976 85858304 98123776 171716608 196247552 343433216 392495104 686866432 1373732864 2747465728