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97077552 = 243111314143
BaseRepresentation
bin1011100100101…
…00100100110000
320202200001100220
411302110210300
5144322440202
613344413040
72256100635
oct562244460
9222601326
1097077552
114a885890
1228617180
131715c550
14cc7018c
1587c8abc
hex5c94930

97077552 has 80 divisors (see below), whose sum is σ = 294647808. Its totient is φ = 27152640.

The previous prime is 97077521. The next prime is 97077553. The reversal of 97077552 is 25577079.

It is a super-2 number, since 2×970775522 = 18848102204625408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97077553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208 + ... + 13935.

Almost surely, 297077552 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 97077552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147323904).

97077552 is an abundant number, since it is smaller than the sum of its proper divisors (197570256).

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

97077552 is a wasteful number, since it uses less digits than its factorization.

97077552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 97077552 is about 9852.7941214663. The cubic root of 97077552 is about 459.5925061704.

The spelling of 97077552 in words is "ninety-seven million, seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 14143 28286 42429 56572 84858 113144 155573 169716 183859 226288 311146 339432 367718 466719 551577 622292 678864 735436 933438 1103154 1244584 1470872 1866876 2022449 2206308 2489168 2941744 3733752 4044898 4412616 6067347 7467504 8089796 8825232 12134694 16179592 24269388 32359184 48538776 97077552