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73286004 = 2231123101239
BaseRepresentation
bin1000101111001…
…00000101110100
312002220022111110
410113210011310
5122230123004
611134435020
71546630551
oct427440564
9162808443
1073286004
1138405950
1220662a70
131224c3cc
149a39a28
156679589
hex45e4174

73286004 has 96 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 20944000.

The previous prime is 73285999. The next prime is 73286063. The reversal of 73286004 is 40068237.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306517 + ... + 306755.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 273286004 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 73286004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

73286004 is an abundant number, since it is smaller than the sum of its proper divisors (124120716).

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

73286004 is a wasteful number, since it uses less digits than its factorization.

73286004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 73286004 is about 8560.7245020500. The cubic root of 73286004 is about 418.4790110076.

It can be divided in two parts, 732 and 86004, that added together give a triangular number (86736 = T416).

The spelling of 73286004 in words is "seventy-three million, two hundred eighty-six thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 239 253 276 303 404 478 506 606 717 759 956 1012 1111 1212 1434 1518 2222 2323 2629 2868 3036 3333 4444 4646 5258 5497 6666 6969 7887 9292 10516 10994 13332 13938 15774 16491 21988 24139 25553 27876 31548 32982 48278 51106 60467 65964 72417 76659 96556 102212 120934 144834 153318 181401 241868 265529 289668 306636 362802 531058 555197 725604 796587 1062116 1110394 1593174 1665591 2220788 3186348 3331182 6107167 6662364 12214334 18321501 24428668 36643002 73286004