Search a number
-
+
74781696 = 2103112213
BaseRepresentation
bin1000111010100…
…01010000000000
312012201022012110
410131101100000
5123121003241
611230455320
71565430303
oct435212000
9165638173
1074781696
1139237660
1221064540
1312654132
149d08b3a
156872816
hex4751400

74781696 has 88 divisors (see below), whose sum is σ = 217538784. Its totient is φ = 22650880.

The previous prime is 74781689. The next prime is 74781697. The reversal of 74781696 is 69618747.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74781697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32686 + ... + 34898.

Almost surely, 274781696 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 74781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108769392).

74781696 is an abundant number, since it is smaller than the sum of its proper divisors (142757088).

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

74781696 is a wasteful number, since it uses less digits than its factorization.

74781696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2229 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 74781696 is about 8647.6410656317. The cubic root of 74781696 is about 421.3067689638.

The spelling of 74781696 in words is "seventy-four million, seven hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2213 2816 3072 4224 4426 5632 6639 8448 8852 11264 13278 16896 17704 24343 26556 33792 35408 48686 53112 70816 73029 97372 106224 141632 146058 194744 212448 283264 292116 389488 424896 566528 584232 778976 849792 1133056 1168464 1557952 1699584 2266112 2336928 3115904 3399168 4673856 6231808 6798336 9347712 12463616 18695424 24927232 37390848 74781696