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75500480 = 2651189241
BaseRepresentation
bin1001000000000…
…00101111000000
312021001211012002
410200000233000
5123312003410
611254123132
71604513006
oct440005700
9167054162
1075500480
11396886a0
12213504a8
1312846353
14a054a76
1569657a5
hex4800bc0

75500480 has 112 divisors (see below), whose sum is σ = 199156320. Its totient is φ = 27033600.

The previous prime is 75500449. The next prime is 75500489. The reversal of 75500480 is 8400557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75500489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 313160 + ... + 313400.

Almost surely, 275500480 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 75500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

75500480 is an abundant number, since it is smaller than the sum of its proper divisors (123655840).

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

75500480 is a wasteful number, since it uses less digits than its factorization.

75500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 75500480 is about 8689.1012193437. The cubic root of 75500480 is about 422.6523008692.

The spelling of 75500480 in words is "seventy-five million, five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 241 320 352 356 440 445 482 704 712 880 890 964 979 1205 1424 1760 1780 1928 1958 2410 2651 2848 3520 3560 3856 3916 4820 4895 5302 5696 7120 7712 7832 9640 9790 10604 13255 14240 15424 15664 19280 19580 21208 21449 26510 28480 31328 38560 39160 42416 42898 53020 62656 77120 78320 84832 85796 106040 107245 156640 169664 171592 212080 214490 235939 313280 343184 424160 428980 471878 686368 848320 857960 943756 1179695 1372736 1715920 1887512 2359390 3431840 3775024 4718780 6863680 7550048 9437560 15100096 18875120 37750240 75500480