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75122048 = 2717192379
BaseRepresentation
bin1000111101001…
…00010110000000
312020100121002002
410132210112000
5123212401143
611242043132
71601345501
oct436442600
9166317062
1075122048
113944a341
12211a94a8
1312743021
149d96ba8
1568dd5b8
hex47a4580

75122048 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 31629312.

The previous prime is 75122039. The next prime is 75122051. The reversal of 75122048 is 84022157.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 75122048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950873 + ... + 950951.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 275122048 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 75122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

75122048 is an abundant number, since it is smaller than the sum of its proper divisors (101133952).

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

75122048 is a wasteful number, since it uses less digits than its factorization.

75122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 75122048 is about 8667.2976180584. The cubic root of 75122048 is about 421.9449626119.

The spelling of 75122048 in words is "seventy-five million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 19 23 32 34 38 46 64 68 76 79 92 128 136 152 158 184 272 304 316 323 368 391 437 544 608 632 646 736 782 874 1088 1216 1264 1292 1343 1472 1501 1564 1748 1817 2176 2432 2528 2584 2686 2944 3002 3128 3496 3634 5056 5168 5372 6004 6256 6992 7268 7429 10112 10336 10744 12008 12512 13984 14536 14858 20672 21488 24016 25024 25517 27968 29072 29716 30889 34523 41344 42976 48032 50048 51034 55936 58144 59432 61778 69046 85952 96064 102068 116288 118864 123556 138092 171904 192128 204136 232576 237728 247112 276184 408272 475456 494224 552368 586891 816544 950912 988448 1104736 1173782 1633088 1976896 2209472 2347564 3266176 3953792 4418944 4695128 9390256 18780512 37561024 75122048