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73211424 = 25311135333
BaseRepresentation
bin1000101110100…
…01111000100000
312002202112012020
410113101320200
5122220231144
611133101440
71546200246
oct427217040
9162675166
1073211424
1138364910
1220627880
1312224490
149a1a796
156662419
hex45d1e20

73211424 has 96 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 20474880.

The previous prime is 73211393. The next prime is 73211431. The reversal of 73211424 is 42411237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 73211394 and 73211403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11062 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (2352294).

Almost surely, 273211424 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 73211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).

73211424 is an abundant number, since it is smaller than the sum of its proper divisors (152608800).

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

73211424 is a wasteful number, since it uses less digits than its factorization.

73211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5362 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 73211424 is about 8556.3674535401. The cubic root of 73211424 is about 418.3370068230.

The spelling of 73211424 in words is "seventy-three million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 5333 6864 10666 13728 15999 21332 31998 42664 58663 63996 69329 85328 117326 127992 138658 170656 175989 207987 234652 255984 277316 351978 415974 469304 511968 554632 703956 762619 831948 938608 1109264 1407912 1525238 1663896 1877216 2218528 2287857 2815824 3050476 3327792 4575714 5631648 6100952 6655584 9151428 12201904 18302856 24403808 36605712 73211424