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74481480 = 23325313661
BaseRepresentation
bin1000111000001…
…11111101001000
312012011001101100
410130013331020
5123031401410
611220221400
71563040113
oct434077510
9165131340
1074481480
1139052047
1220b3a860
131257a5a8
149c6b57a
1568138c0
hex4707f48

74481480 has 96 divisors (see below), whose sum is σ = 243205560. Its totient is φ = 19768320.

The previous prime is 74481469. The next prime is 74481487. The reversal of 74481480 is 8418447.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46539684 + 27941796 = 6822^2 + 5286^2 .

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

It is not an unprimeable number, because it can be changed into a prime (74481487) 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 23 ways as a sum of consecutive naturals, for example, 112350 + ... + 113010.

Almost surely, 274481480 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 74481480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121602780).

74481480 is an abundant number, since it is smaller than the sum of its proper divisors (168724080).

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

74481480 is a wasteful number, since it uses less digits than its factorization.

74481480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 74481480 is about 8630.2653493389. The cubic root of 74481480 is about 420.7422249806.

The spelling of 74481480 in words is "seventy-four million, four hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 661 939 1252 1322 1565 1878 1983 2504 2644 2817 3130 3305 3756 3966 4695 5288 5634 5949 6260 6610 7512 7932 9390 9915 11268 11898 12520 13220 14085 15864 18780 19830 22536 23796 26440 28170 29745 37560 39660 47592 56340 59490 79320 112680 118980 206893 237960 413786 620679 827572 1034465 1241358 1655144 1862037 2068930 2482716 3103395 3724074 4137860 4965432 6206790 7448148 8275720 9310185 12413580 14896296 18620370 24827160 37240740 74481480