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73948116 = 22311560213
BaseRepresentation
bin1000110100001…
…01101111010100
312011010221202010
410122011233110
5122412314431
611200544220
71555356114
oct432055724
9164127663
1073948116
1138818350
1220922070
13124218a8
149b6d044
15675a846
hex4685bd4

73948116 has 24 divisors (see below), whose sum is σ = 188231904. Its totient is φ = 22408480.

The previous prime is 73948111. The next prime is 73948123. The reversal of 73948116 is 61184937.

It is a super-3 number, since 3×739481163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73948111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279975 + ... + 280238.

It is an arithmetic number, because the mean of its divisors is an integer number (7842996).

Almost surely, 273948116 is an apocalyptic number.

It is an amenable number.

73948116 is an abundant number, since it is smaller than the sum of its proper divisors (114283788).

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

73948116 is a wasteful number, since it uses less digits than its factorization.

73948116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560231 (or 560229 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 73948116 is about 8599.3090420103. The cubic root of 73948116 is about 419.7355024002.

The spelling of 73948116 in words is "seventy-three million, nine hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 560213 1120426 1680639 2240852 3361278 6162343 6722556 12324686 18487029 24649372 36974058 73948116