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95041536 = 211331499
BaseRepresentation
bin1011010101000…
…11100000000000
320121211121110220
411222203200000
5143312312121
613233023040
72232561012
oct552434000
9217747426
1095041536
1149715127
12279b4a80
13168c88c5
14c8a01b2
1585256c6
hex5aa3800

95041536 has 96 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 30597120.

The previous prime is 95041517. The next prime is 95041549. The reversal of 95041536 is 63514059.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 95041497 and 95041506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190215 + ... + 190713.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 295041536 is an apocalyptic number.

95041536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

95041536 is an abundant number, since it is smaller than the sum of its proper divisors (167038464).

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

95041536 is a wasteful number, since it uses less digits than its factorization.

95041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 95041536 is about 9748.9248637991. The cubic root of 95041536 is about 456.3567537524.

It can be divided in two parts, 950 and 41536, that added together give a triangular number (42486 = T291).

The spelling of 95041536 in words is "ninety-five million, forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 499 512 744 768 992 998 1024 1488 1497 1536 1984 1996 2048 2976 2994 3072 3968 3992 5952 5988 6144 7936 7984 11904 11976 15469 15872 15968 23808 23952 30938 31744 31936 46407 47616 47904 61876 63488 63872 92814 95232 95808 123752 127744 185628 190464 191616 247504 255488 371256 383232 495008 510976 742512 766464 990016 1021952 1485024 1532928 1980032 2970048 3065856 3960064 5940096 7920128 11880192 15840256 23760384 31680512 47520768 95041536