Search a number
-
+
74836224 = 2836401
BaseRepresentation
bin1000111010111…
…10100100000000
312012211002000000
410131132210000
5123124224344
611232000000
71566045261
oct435364400
9165732000
1074836224
1139274621
1221090000
1312672bb8
149d20968
156883a69
hex475e900

74836224 has 126 divisors (see below), whose sum is σ = 224526246. Its totient is φ = 24883200.

The previous prime is 74836189. The next prime is 74836247. The reversal of 74836224 is 42263847.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 186624 = 8640^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 13 ways as a sum of consecutive naturals, for example, 186424 + ... + 186824.

Almost surely, 274836224 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 74836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112263123).

74836224 is an abundant number, since it is smaller than the sum of its proper divisors (149690022).

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

74836224 is an frugal number, since it uses more digits than its factorization.

74836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 74836224 is about 8650.7932584243. The cubic root of 74836224 is about 421.4091444349.

The spelling of 74836224 in words is "seventy-four million, eight hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 401 432 486 576 648 729 768 802 864 972 1152 1203 1296 1458 1604 1728 1944 2304 2406 2592 2916 3208 3456 3609 3888 4812 5184 5832 6416 6912 7218 7776 9624 10368 10827 11664 12832 14436 15552 19248 20736 21654 23328 25664 28872 31104 32481 38496 43308 46656 51328 57744 62208 64962 76992 86616 93312 97443 102656 115488 129924 153984 173232 186624 194886 230976 259848 292329 307968 346464 389772 461952 519696 584658 692928 779544 923904 1039392 1169316 1385856 1559088 2078784 2338632 2771712 3118176 4157568 4677264 6236352 8315136 9354528 12472704 18709056 24945408 37418112 74836224