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74825040 = 24351961269
BaseRepresentation
bin1000111010110…
…11110101010000
312012210111122210
410131123311100
5123123400130
611231432120
71566000543
oct435336520
9165714583
1074825040
1139267184
1221085640
131266aa94
149d1a85a
1568805b0
hex475bd50

74825040 has 160 divisors (see below), whose sum is σ = 249091200. Its totient is φ = 18524160.

The previous prime is 74825033. The next prime is 74825053. The reversal of 74825040 is 4052847.

It is a super-2 number, since 2×748250402 = 11197573222003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74824989 and 74825007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278026 + ... + 278294.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 274825040 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 74825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

74825040 is an abundant number, since it is smaller than the sum of its proper divisors (174266160).

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

74825040 is a wasteful number, since it uses less digits than its factorization.

74825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 74825040 is about 8650.1468195632. The cubic root of 74825040 is about 421.3881507039.

Adding to 74825040 its reverse (4052847), we get a palindrome (78877887).

The spelling of 74825040 in words is "seventy-four million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 61 76 80 95 114 120 122 152 183 190 228 240 244 269 285 304 305 366 380 456 488 538 570 610 732 760 807 912 915 976 1076 1140 1159 1220 1345 1464 1520 1614 1830 2152 2280 2318 2440 2690 2928 3228 3477 3660 4035 4304 4560 4636 4880 5111 5380 5795 6456 6954 7320 8070 9272 10222 10760 11590 12912 13908 14640 15333 16140 16409 17385 18544 20444 21520 23180 25555 27816 30666 32280 32818 34770 40888 46360 49227 51110 55632 61332 64560 65636 69540 76665 81776 82045 92720 98454 102220 122664 131272 139080 153330 164090 196908 204440 245328 246135 262544 278160 306660 311771 328180 393816 408880 492270 613320 623542 656360 787632 935313 984540 1226640 1247084 1312720 1558855 1870626 1969080 2494168 3117710 3741252 3938160 4676565 4988336 6235420 7482504 9353130 12470840 14965008 18706260 24941680 37412520 74825040