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73803996 = 22327343139
BaseRepresentation
bin1000110011000…
…10100011011100
312010212122001100
410121202203130
5122343211441
611153513100
71554216000
oct431424334
9163778040
1073803996
113872a042
1220872790
13123a1106
149b32700
15672ccb6
hex46628dc

73803996 has 144 divisors (see below), whose sum is σ = 224224000. Its totient is φ = 20448288.

The previous prime is 73803991. The next prime is 73803997. The reversal of 73803996 is 69930837.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73803991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530895 + ... + 531033.

Almost surely, 273803996 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 73803996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112112000).

73803996 is an abundant number, since it is smaller than the sum of its proper divisors (150420004).

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

73803996 is a wasteful number, since it uses less digits than its factorization.

73803996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 73803996 is about 8590.9252121061. The cubic root of 73803996 is about 419.4626461285.

The spelling of 73803996 in words is "seventy-three million, eight hundred three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 139 147 172 196 252 258 278 294 301 343 387 417 441 516 556 588 602 686 774 834 882 903 973 1029 1204 1251 1372 1548 1668 1764 1806 1946 2058 2107 2502 2709 2919 3087 3612 3892 4116 4214 5004 5418 5838 5977 6174 6321 6811 8428 8757 10836 11676 11954 12348 12642 13622 14749 17514 17931 18963 20433 23908 25284 27244 29498 35028 35862 37926 40866 41839 44247 47677 53793 58996 61299 71724 75852 81732 83678 88494 95354 107586 122598 125517 132741 143031 167356 176988 190708 215172 245196 251034 265482 286062 292873 376551 429093 502068 530964 572124 585746 753102 858186 878619 1171492 1506204 1716372 1757238 2050111 2635857 3514476 4100222 5271714 6150333 8200444 10543428 12300666 18450999 24601332 36901998 73803996