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74332048 = 2473179271
BaseRepresentation
bin1000110111000…
…11011110010000
312011212110101211
410123203132100
5123012111143
611213105504
71561545340
oct433433620
9164773354
1074332048
1138a5a84a
1220a88294
131252757b
149c2cd20
1567d449d
hex46e3790

74332048 has 80 divisors (see below), whose sum is σ = 172687360. Its totient is φ = 30326400.

The previous prime is 74332039. The next prime is 74332073. The reversal of 74332048 is 84023347.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274153 + ... + 274423.

It is an arithmetic number, because the mean of its divisors is an integer number (2158592).

Almost surely, 274332048 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 74332048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86343680).

74332048 is an abundant number, since it is smaller than the sum of its proper divisors (98355312).

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

74332048 is a wasteful number, since it uses less digits than its factorization.

74332048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 74332048 is about 8621.6035631430. The cubic root of 74332048 is about 420.4606585833.

The spelling of 74332048 in words is "seventy-four million, three hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 217 248 271 316 434 496 542 553 632 868 1084 1106 1264 1736 1897 2168 2212 2449 3472 3794 4336 4424 4898 7588 8401 8848 9796 15176 16802 17143 19592 21409 30352 33604 34286 39184 42818 58807 67208 68572 85636 117614 134416 137144 149863 171272 235228 274288 299726 342544 470456 599452 663679 940912 1198904 1327358 2397808 2654716 4645753 5309432 9291506 10618864 18583012 37166024 74332048