Search a number
-
+
74242896 = 24371323739
BaseRepresentation
bin1000110110011…
…01101101010000
312011200221002220
410123031231100
5123001233041
611211141040
71561024410
oct433155520
9164627086
1074242896
11389a9872
1220a44780
13124c5b10
149c08640
1567b7d66
hex46cdb50

74242896 has 160 divisors (see below), whose sum is σ = 246650880. Its totient is φ = 18703872.

The previous prime is 74242879. The next prime is 74242943. The reversal of 74242896 is 69824247.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100095 + ... + 100833.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568).

Almost surely, 274242896 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 74242896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123325440).

74242896 is an abundant number, since it is smaller than the sum of its proper divisors (172407984).

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

74242896 is a wasteful number, since it uses less digits than its factorization.

74242896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 74242896 is about 8616.4317440574. The cubic root of 74242896 is about 420.2924946675.

The spelling of 74242896 in words is "seventy-four million, two hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 739 897 966 1092 1104 1196 1288 1456 1478 1794 1932 2093 2184 2217 2392 2576 2956 3588 3864 4186 4368 4434 4784 5173 5912 6279 7176 7728 8372 8868 9607 10346 11824 12558 14352 15519 16744 16997 17736 19214 20692 25116 28821 31038 33488 33994 35472 38428 41384 50232 50991 57642 62076 67249 67988 76856 82768 100464 101982 115284 118979 124152 134498 135976 153712 201747 203964 220961 230568 237958 248304 268996 271952 356937 403494 407928 441922 461136 475916 537992 662883 713874 806988 815856 883844 951832 1075984 1325766 1427748 1546727 1613976 1767688 1903664 2651532 2855496 3093454 3227952 3535376 4640181 5303064 5710992 6186908 9280362 10606128 12373816 18560724 24747632 37121448 74242896