Search a number
-
+
73424496 = 2431726779
BaseRepresentation
bin1000110000001…
…01111001110000
312010011100110210
410120011321300
5122244040441
611141424120
71551045405
oct430057160
9163140423
1073424496
113849aa02
122070b040
131229a462
149a742ac
1566a5616
hex4605e70

73424496 has 120 divisors (see below), whose sum is σ = 207089920. Its totient is φ = 22404096.

The previous prime is 73424489. The next prime is 73424501. The reversal of 73424496 is 69442437.

It is a super-2 number, since 2×734244962 = 10782313225708032, which contains 22 as substring.

Its product of digits (145152) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 929385 + ... + 929463.

Almost surely, 273424496 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 73424496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103544960).

73424496 is an abundant number, since it is smaller than the sum of its proper divisors (133665424).

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

73424496 is a wasteful number, since it uses less digits than its factorization.

73424496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 73424496 is about 8568.8094855703. The cubic root of 73424496 is about 418.7424516052.

It can be divided in two parts, 73424 and 496, that added together give a triangular number (73920 = T384).

The spelling of 73424496 in words is "seventy-three million, four hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 79 102 134 136 158 201 204 237 268 272 289 316 402 408 474 536 578 632 804 816 867 948 1072 1139 1156 1264 1343 1608 1734 1896 2278 2312 2686 3216 3417 3468 3792 4029 4556 4624 5293 5372 6834 6936 8058 9112 10586 10744 13668 13872 15879 16116 18224 19363 21172 21488 22831 27336 31758 32232 38726 42344 45662 54672 58089 63516 64464 68493 77452 84688 89981 91324 116178 127032 136986 154904 179962 182648 232356 254064 269943 273972 309808 359924 365296 464712 539886 547944 719848 929424 1079772 1095888 1439696 1529677 2159544 3059354 4319088 4589031 6118708 9178062 12237416 18356124 24474832 36712248 73424496