Search a number
-
+
74524968 = 23337232143
BaseRepresentation
bin1000111000100…
…10100100101000
312012020021001000
410130102210220
5123034244333
611221155000
71563310650
oct434224450
9165207030
1074524968
1139081791
1220b5ba60
131259431b
149c7d360
156821713
hex4712928

74524968 has 128 divisors (see below), whose sum is σ = 246988800. Its totient is φ = 20357568.

The previous prime is 74524909. The next prime is 74524979. The reversal of 74524968 is 86942547.

It is a happy number.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33705 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (1929600).

Almost surely, 274524968 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 74524968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123494400).

74524968 is an abundant number, since it is smaller than the sum of its proper divisors (172463832).

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

74524968 is a wasteful number, since it uses less digits than its factorization.

74524968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2178 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 74524968 is about 8632.7844870586. The cubic root of 74524968 is about 420.8240962410.

The spelling of 74524968 in words is "seventy-four million, five hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2143 2484 2898 3864 4286 4347 4968 5796 6429 8572 8694 11592 12858 15001 17144 17388 19287 25716 30002 34776 38574 45003 49289 51432 57861 60004 77148 90006 98578 115722 120008 135009 147867 154296 180012 197156 231444 270018 295734 345023 360024 394312 405027 443601 462888 540036 591468 690046 810054 887202 1035069 1080072 1182936 1330803 1380092 1620108 1774404 2070138 2661606 2760184 3105207 3240216 3548808 4140276 5323212 6210414 8280552 9315621 10646424 12420828 18631242 24841656 37262484 74524968