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74146512 = 24311192389
BaseRepresentation
bin1000110101101…
…10001011010000
312011112000220010
410122312023100
5122440142022
611205114520
71560143406
oct432661320
9164460803
1074146512
1138943410
12209b8a40
1312490c9b
149bc1476
15679950c
hex46b62d0

74146512 has 120 divisors (see below), whose sum is σ = 221101920. Its totient is φ = 21231360.

The previous prime is 74146489. The next prime is 74146519. The reversal of 74146512 is 21564147.

It is a super-2 number, since 2×741465122 = 10995410483532288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74146512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74146519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190414 + ... + 190802.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 274146512 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 74146512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110550960).

74146512 is an abundant number, since it is smaller than the sum of its proper divisors (146955408).

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

74146512 is a wasteful number, since it uses less digits than its factorization.

74146512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 74146512 is about 8610.8368931248. The cubic root of 74146512 is about 420.1105377990.

The spelling of 74146512 in words is "seventy-four million, one hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 361 389 418 456 528 627 722 778 836 912 1083 1167 1254 1444 1556 1672 2166 2334 2508 2888 3112 3344 3971 4279 4332 4668 5016 5776 6224 7391 7942 8558 8664 9336 10032 11913 12837 14782 15884 17116 17328 18672 22173 23826 25674 29564 31768 34232 44346 47652 51348 59128 63536 68464 81301 88692 95304 102696 118256 140429 162602 177384 190608 205392 243903 280858 325204 354768 421287 487806 561716 650408 842574 975612 1123432 1300816 1544719 1685148 1951224 2246864 3089438 3370296 3902448 4634157 6178876 6740592 9268314 12357752 18536628 24715504 37073256 74146512