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74140752 = 2437263839
BaseRepresentation
bin1000110101101…
…00110001010000
312011111201222210
410122310301100
5122440001002
611205032120
71560120540
oct432646120
9164451883
1074140752
113893a054
12209b5640
131248b48a
149bbd320
15679796c
hex46b4c50

74140752 has 80 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 21077376.

The previous prime is 74140727. The next prime is 74140783. The reversal of 74140752 is 25704147.

It is a super-2 number, since 2×741407522 = 10993702214251008, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 87949 + ... + 88787.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 274140752 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 74140752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

74140752 is an abundant number, since it is smaller than the sum of its proper divisors (145845168).

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

74140752 is a wasteful number, since it uses less digits than its factorization.

74140752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 74140752 is about 8610.5024243653. The cubic root of 74140752 is about 420.0996588904.

Adding to 74140752 its reverse (25704147), we get a palindrome (99844899).

The spelling of 74140752 in words is "seventy-four million, one hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 336 526 789 839 1052 1578 1678 1841 2104 2517 3156 3356 3682 4208 5034 5523 5873 6312 6712 7364 10068 11046 11746 12624 13424 14728 17619 20136 22092 23492 29456 35238 40272 44184 46984 70476 88368 93968 140952 220657 281904 441314 661971 882628 1323942 1544599 1765256 2647884 3089198 3530512 4633797 5295768 6178396 9267594 10591536 12356792 18535188 24713584 37070376 74140752