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74019984 = 243592443
BaseRepresentation
bin1000110100101…
…11010010010000
312011021121022220
410122113102100
5122422114414
611202301040
71556105463
oct432272220
9164247286
1074019984
1138867345
1220957780
131244850c
149b8b2da
156771ca9
hex4697490

74019984 has 60 divisors (see below), whose sum is σ = 194953296. Its totient is φ = 24200384.

The previous prime is 74019961. The next prime is 74019997. The reversal of 74019984 is 48991047.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166867 + ... + 167309.

Almost surely, 274019984 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 74019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97476648).

74019984 is an abundant number, since it is smaller than the sum of its proper divisors (120933312).

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

74019984 is a wasteful number, since it uses less digits than its factorization.

74019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 74019984 is about 8603.4867350395. The cubic root of 74019984 is about 419.8714345720.

The spelling of 74019984 in words is "seventy-four million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 443 472 708 886 944 1329 1416 1772 2658 2832 3481 3544 5316 6962 7088 10443 10632 13924 20886 21264 26137 27848 41772 52274 55696 78411 83544 104548 156822 167088 209096 313644 418192 627288 1254576 1542083 3084166 4626249 6168332 9252498 12336664 18504996 24673328 37009992 74019984