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74538112 = 2711167317
BaseRepresentation
bin1000111000101…
…01110010000000
312012020221001211
410130111302000
5123040204422
611221335504
71563364165
oct434256200
9165227054
1074538112
1139090650
1220b67594
131259a2bc
149c8406c
156825577
hex4715c80

74538112 has 64 divisors (see below), whose sum is σ = 163477440. Its totient is φ = 33571840.

The previous prime is 74538109. The next prime is 74538119. The reversal of 74538112 is 21183547.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (74538119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234978 + ... + 235294.

It is an arithmetic number, because the mean of its divisors is an integer number (2554335).

Almost surely, 274538112 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 74538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81738720).

74538112 is an abundant number, since it is smaller than the sum of its proper divisors (88939328).

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

74538112 is a wasteful number, since it uses less digits than its factorization.

74538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 74538112 is about 8633.5457374129. The cubic root of 74538112 is about 420.8488350943.

The spelling of 74538112 in words is "seventy-four million, five hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 167 176 317 334 352 634 668 704 1268 1336 1408 1837 2536 2672 3487 3674 5072 5344 6974 7348 10144 10688 13948 14696 20288 21376 27896 29392 40576 52939 55792 58784 105878 111584 117568 211756 223168 235136 423512 446336 582329 847024 1164658 1694048 2329316 3388096 4658632 6776192 9317264 18634528 37269056 74538112