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75053968 = 24112318541
BaseRepresentation
bin1000111100100…
…11101110010000
312020020010200121
410132103232100
5123203211333
611240400024
71600643143
oct436235620
9166203617
1075053968
1139403180
1221176014
131271b042
149d7a05a
1568c832d
hex4793b90

75053968 has 40 divisors (see below), whose sum is σ = 165542976. Its totient is φ = 32630400.

The previous prime is 75053947. The next prime is 75053969. The reversal of 75053968 is 86935057.

It is a super-2 number, since 2×750539682 = 11266196225090048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75053969) 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 7 ways as a sum of consecutive naturals, for example, 5223 + ... + 13318.

Almost surely, 275053968 is an apocalyptic number.

It is an amenable number.

75053968 is an abundant number, since it is smaller than the sum of its proper divisors (90489008).

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

75053968 is a wasteful number, since it uses less digits than its factorization.

75053968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18583 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 75053968 is about 8663.3693214592. The cubic root of 75053968 is about 421.8174603409.

The spelling of 75053968 in words is "seventy-five million, fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 18541 37082 74164 148328 203951 296656 407902 426443 815804 852886 1631608 1705772 3263216 3411544 4690873 6823088 9381746 18763492 37526984 75053968