Search a number
-
+
74249952 = 2537110491
BaseRepresentation
bin1000110110011…
…11011011100000
312011201021210020
410123033123200
5123001444302
611211233440
71561054110
oct433173340
9164637706
1074249952
1138a040a7
1220a48880
13124c90aa
149c0b040
1567b9ebc
hex46cf6e0

74249952 has 48 divisors (see below), whose sum is σ = 222751872. Its totient is φ = 21214080.

The previous prime is 74249951. The next prime is 74249953. The reversal of 74249952 is 25994247.

It is an interprime number because it is at equal distance from previous prime (74249951) and next prime (74249953).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74249951) 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, 54574 + ... + 55917.

It is an arithmetic number, because the mean of its divisors is an integer number (4640664).

Almost surely, 274249952 is an apocalyptic number.

It is an amenable number.

74249952 is an abundant number, since it is smaller than the sum of its proper divisors (148501920).

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

74249952 is a wasteful number, since it uses less digits than its factorization.

74249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110511 (or 110503 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 74249952 is about 8616.8411845641. The cubic root of 74249952 is about 420.3058090273.

The spelling of 74249952 in words is "seventy-four million, two hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 110491 220982 331473 441964 662946 773437 883928 1325892 1546874 1767856 2320311 2651784 3093748 3535712 4640622 5303568 6187496 9281244 10607136 12374992 18562488 24749984 37124976 74249952