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72980928 = 2632126703
BaseRepresentation
bin1000101100110…
…01100111000000
312002022211000100
410112121213000
5122140342203
611124122400
71544220246
oct426314700
9162284010
1072980928
1138217719
1220536400
13121735a7
14999a796
156618ea3
hex45999c0

72980928 has 42 divisors (see below), whose sum is σ = 209188304. Its totient is φ = 24326784.

The previous prime is 72980927. The next prime is 72980939. The reversal of 72980928 is 82908927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72980927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62776 + ... + 63927.

Almost surely, 272980928 is an apocalyptic number.

It is an amenable number.

72980928 is an abundant number, since it is smaller than the sum of its proper divisors (136207376).

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

72980928 is a wasteful number, since it uses less digits than its factorization.

72980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126721 (or 126708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 72980928 is about 8542.8875680299. The cubic root of 72980928 is about 417.8975199579.

The spelling of 72980928 in words is "seventy-two million, nine hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 126703 253406 380109 506812 760218 1013624 1140327 1520436 2027248 2280654 3040872 4054496 4561308 6081744 8108992 9122616 12163488 18245232 24326976 36490464 72980928