Search a number
-
+
7272276984 = 233372687101
BaseRepresentation
bin1101100010111011…
…00010001111111000
3200202211001221121000
412301131202033320
5104343200330414
63201342045000
7345133222500
oct66135421770
920684057530
107272276984
1130a2013375
1214ab579760
138bb84829b
144cdb94a00
152c869db09
hex1b17623f8

7272276984 has 96 divisors (see below), whose sum is σ = 23498888400. Its totient is φ = 2077790400.

The previous prime is 7272276971. The next prime is 7272276989. The reversal of 7272276984 is 4896722727.

It is a happy number.

It is a super-3 number, since 3×72722769843 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7272276984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272276989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332967 + ... + 354134.

Almost surely, 27272276984 is an apocalyptic number.

It is an amenable number.

7272276984 is an abundant number, since it is smaller than the sum of its proper divisors (16226611416).

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

7272276984 is a wasteful number, since it uses less digits than its factorization.

7272276984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687130 (or 687113 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 7272276984 is about 85277.6464496998. The cubic root of 7272276984 is about 1937.4186257548.

The spelling of 7272276984 in words is "seven billion, two hundred seventy-two million, two hundred seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 687101 1374202 2061303 2748404 4122606 4809707 5496808 6183909 8245212 9619414 12367818 14429121 16490424 18551727 19238828 24735636 28858242 33667949 37103454 38477656 43287363 49471272 57716484 67335898 74206908 86574726 101003847 115432968 129862089 134671796 148413816 173149452 202007694 259724178 269343592 303011541 346298904 404015388 519448356 606023082 808030776 909034623 1038896712 1212046164 1818069246 2424092328 3636138492 7272276984