Search a number
-
+
74457152 = 2671129521
BaseRepresentation
bin1000111000000…
…10000001000000
312012002211000022
410130002001000
5123030112102
611215513012
71562606150
oct434020100
9165084008
1074457152
1139035840
1220b28768
131256c4b3
149c62760
15680b5a2
hex4702040

74457152 has 112 divisors (see below), whose sum is σ = 190926720. Its totient is φ = 27955200.

The previous prime is 74457139. The next prime is 74457193. The reversal of 74457152 is 25175447.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×744571522 = 11087734967902208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142652 + ... + 143172.

Almost surely, 274457152 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 74457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95463360).

74457152 is an abundant number, since it is smaller than the sum of its proper divisors (116469568).

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

74457152 is a wasteful number, since it uses less digits than its factorization.

74457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 39200, while the sum is 35.

The square root of 74457152 is about 8628.8557758257. The cubic root of 74457152 is about 420.6964107661.

The spelling of 74457152 in words is "seventy-four million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 521 616 638 704 812 928 1042 1232 1276 1624 1856 2084 2233 2464 2552 3248 3647 4168 4466 4928 5104 5731 6496 7294 8336 8932 10208 11462 12992 14588 15109 16672 17864 20416 22924 29176 30218 33344 35728 40117 45848 58352 60436 71456 80234 91696 105763 116704 120872 142912 160468 166199 183392 211526 233408 241744 320936 332398 366784 423052 483488 641872 664796 846104 966976 1163393 1283744 1329592 1692208 2326786 2567488 2659184 3384416 4653572 5318368 6768832 9307144 10636736 18614288 37228576 74457152