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75976704 = 21234229
BaseRepresentation
bin1001000011101…
…01000000000000
312021222000110000
410201311000000
5123422223304
611312240000
71611535266
oct441650000
9167860400
1075976704
1139983471
1221540000
131298203b
14a13a436
156a0b939
hex4875000

75976704 has 130 divisors (see below), whose sum is σ = 227955530. Its totient is φ = 25214976.

The previous prime is 75976699. The next prime is 75976711. The reversal of 75976704 is 40767957.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 1327104 = 8640^2 + 1152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75976704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331662 + ... + 331890.

Almost surely, 275976704 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 75976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113977765).

75976704 is an abundant number, since it is smaller than the sum of its proper divisors (151978826).

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

75976704 is an equidigital number, since it uses as much as digits as its factorization.

75976704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 75976704 is about 8716.4616674428. The cubic root of 75976704 is about 423.5390742894.

The spelling of 75976704 in words is "seventy-five million, nine hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 229 256 288 324 384 432 458 512 576 648 687 768 864 916 1024 1152 1296 1374 1536 1728 1832 2048 2061 2304 2592 2748 3072 3456 3664 4096 4122 4608 5184 5496 6144 6183 6912 7328 8244 9216 10368 10992 12288 12366 13824 14656 16488 18432 18549 20736 21984 24732 27648 29312 32976 36864 37098 41472 43968 49464 55296 58624 65952 74196 82944 87936 98928 110592 117248 131904 148392 165888 175872 197856 234496 263808 296784 331776 351744 395712 468992 527616 593568 703488 791424 937984 1055232 1187136 1406976 1582848 2110464 2374272 2813952 3165696 4220928 4748544 6331392 8441856 9497088 12662784 18994176 25325568 37988352 75976704