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74482740 = 22345231999
BaseRepresentation
bin1000111000010…
…00010000110100
312012011010010000
410130020100310
5123031421430
611220231300
71563043563
oct434102064
9165133100
1074482740
1139052a92
1220b3b530
131257b037
149c6bbda
156813e60
hex4708434

74482740 has 120 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 18988992.

The previous prime is 74482693. The next prime is 74482741. The reversal of 74482740 is 4728447.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74482695 and 74482704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74482741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36261 + ... + 38259.

It is an arithmetic number, because the mean of its divisors is an integer number (2032800).

Almost surely, 274482740 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 74482740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

74482740 is an abundant number, since it is smaller than the sum of its proper divisors (169453260).

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

74482740 is a wasteful number, since it uses less digits than its factorization.

74482740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 74482740 is about 8630.3383479444. The cubic root of 74482740 is about 420.7445975266.

The spelling of 74482740 in words is "seventy-four million, four hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 1999 2070 2484 3105 3726 3998 4140 5997 6210 7452 7996 9315 9995 11994 12420 17991 18630 19990 23988 29985 35982 37260 39980 45977 53973 59970 71964 89955 91954 107946 119940 137931 161919 179910 183908 215892 229885 269865 275862 323838 359820 413793 459770 539730 551724 647676 689655 809595 827586 919540 1079460 1241379 1379310 1619190 1655172 2068965 2482758 2758620 3238380 3724137 4137930 4965516 6206895 7448274 8275860 12413790 14896548 18620685 24827580 37241370 74482740