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75074472 = 233311191663
BaseRepresentation
bin1000111100110…
…00101110101000
312020021011211000
410132120232220
5123204340342
611241035000
71601060004
oct436305650
9166234730
1075074472
1139417620
1221185a60
1312727485
149d83704
1568ce44c
hex4798ba8

75074472 has 128 divisors (see below), whose sum is σ = 239616000. Its totient is φ = 21539520.

The previous prime is 75074423. The next prime is 75074473. The reversal of 75074472 is 27447057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75074473) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44313 + ... + 45975.

It is an arithmetic number, because the mean of its divisors is an integer number (1872000).

Almost surely, 275074472 is an apocalyptic number.

75074472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75074472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808000).

75074472 is an abundant number, since it is smaller than the sum of its proper divisors (164541528).

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

75074472 is a wasteful number, since it uses less digits than its factorization.

75074472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 75074472 is about 8664.5526139553. The cubic root of 75074472 is about 421.8558689596.

The spelling of 75074472 in words is "seventy-five million, seventy-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1663 1672 1881 2052 2376 2508 3326 3762 4104 4989 5016 5643 6652 7524 9978 11286 13304 14967 15048 18293 19956 22572 29934 31597 36586 39912 44901 45144 54879 59868 63194 73172 89802 94791 109758 119736 126388 146344 164637 179604 189582 219516 252776 284373 329274 347567 359208 379164 439032 493911 568746 658548 695134 758328 853119 987822 1042701 1137492 1317096 1390268 1706238 1975644 2085402 2274984 2780536 3128103 3412476 3951288 4170804 6256206 6824952 8341608 9384309 12512412 18768618 25024824 37537236 75074472