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74401448 = 23112101761
BaseRepresentation
bin1000110111101…
…00011010101000
312011222222121012
410123310122220
5123021321243
611214403052
71562254562
oct433643250
9164888535
1074401448
1138aa7a00
1220b00488
1312550034
149c4a332
1567e9d18
hex46f46a8

74401448 has 48 divisors (see below), whose sum is σ = 155059380. Its totient is φ = 33440000.

The previous prime is 74401441. The next prime is 74401451. The reversal of 74401448 is 84410447.

It can be written as a sum of positive squares in 2 ways, for example, as 73994404 + 407044 = 8602^2 + 638^2 .

It is not an unprimeable number, because it can be changed into a prime (74401441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97388 + ... + 98148.

Almost surely, 274401448 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 74401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77529690).

74401448 is an abundant number, since it is smaller than the sum of its proper divisors (80657932).

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

74401448 is a wasteful number, since it uses less digits than its factorization.

74401448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 74401448 is about 8625.6273974709. The cubic root of 74401448 is about 420.5914720252.

It can be divided in two parts, 7440 and 1448, that added together give a palindrome (8888).

The spelling of 74401448 in words is "seventy-four million, four hundred one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 761 808 968 1111 1522 2222 3044 4444 6088 8371 8888 12221 16742 24442 33484 48884 66968 76861 92081 97768 153722 184162 307444 368324 614888 736648 845471 1690942 3381884 6763768 9300181 18600362 37200724 74401448