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74585088 = 210328093
BaseRepresentation
bin1000111001000…
…01010000000000
312012100022111200
410130201100000
5123043210323
611222341200
71563651144
oct434412000
9165308450
1074585088
1139112976
1220b8a800
13125b57b6
149c97224
156834443
hex4721400

74585088 has 66 divisors (see below), whose sum is σ = 215389434. Its totient is φ = 24858624.

The previous prime is 74585087. The next prime is 74585107. The reversal of 74585088 is 88058547.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 12616704 = 7872^2 + 3552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74585087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5170 + ... + 13262.

Almost surely, 274585088 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 74585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107694717).

74585088 is an abundant number, since it is smaller than the sum of its proper divisors (140804346).

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

74585088 is a wasteful number, since it uses less digits than its factorization.

74585088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 74585088 is about 8636.2658597336. The cubic root of 74585088 is about 420.9372267580.

The spelling of 74585088 in words is "seventy-four million, five hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 8093 9216 16186 24279 32372 48558 64744 72837 97116 129488 145674 194232 258976 291348 388464 517952 582696 776928 1035904 1165392 1553856 2071808 2330784 3107712 4143616 4661568 6215424 8287232 9323136 12430848 18646272 24861696 37292544 74585088