Search a number
-
+
74976480 = 2532552067
BaseRepresentation
bin1000111100000…
…00110011100000
312020002012101200
410132000303200
5123143221410
611235001200
71600201215
oct436006340
9166065350
1074976480
113935aa37
1221139200
13126c19a7
149d59b0c
1568b03c0
hex4780ce0

74976480 has 72 divisors (see below), whose sum is σ = 255862152. Its totient is φ = 19993344.

The previous prime is 74976479. The next prime is 74976509. The reversal of 74976480 is 8467947.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24594 + ... + 27473.

It is an arithmetic number, because the mean of its divisors is an integer number (3553641).

Almost surely, 274976480 is an apocalyptic number.

It is an amenable number.

74976480 is an abundant number, since it is smaller than the sum of its proper divisors (180885672).

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

74976480 is a wasteful number, since it uses less digits than its factorization.

74976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52088 (or 52077 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74976480 is about 8658.8960035330. The cubic root of 74976480 is about 421.6722446279.

The spelling of 74976480 in words is "seventy-four million, nine hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 52067 104134 156201 208268 260335 312402 416536 468603 520670 624804 781005 833072 937206 1041340 1249608 1562010 1666144 1874412 2082680 2343015 2499216 3124020 3748824 4165360 4686030 4998432 6248040 7497648 8330720 9372060 12496080 14995296 18744120 24992160 37488240 74976480