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95092480 = 285710613
BaseRepresentation
bin1011010101011…
…11111100000000
320121221012100201
411222233330000
5143320424410
613234054544
72233162360
oct552577400
9217835321
1095092480
114974a42a
1227a1a454
1316915b52
14c8b49a0
15853583a
hex5aaff00

95092480 has 72 divisors (see below), whose sum is σ = 260340192. Its totient is φ = 32600064.

The previous prime is 95092477. The next prime is 95092493. The reversal of 95092480 is 8429059.

It is a zygodrome in base 4.

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, 3654 + ... + 14266.

It is an arithmetic number, because the mean of its divisors is an integer number (3615836).

Almost surely, 295092480 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 95092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170096).

95092480 is an abundant number, since it is smaller than the sum of its proper divisors (165247712).

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

95092480 is a wasteful number, since it uses less digits than its factorization.

95092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 95092480 is about 9751.5373147007. The cubic root of 95092480 is about 456.4382777078.

The spelling of 95092480 in words is "ninety-five million, ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 10613 21226 42452 53065 74291 84904 106130 148582 169808 212260 297164 339616 371455 424520 594328 679232 742910 849040 1188656 1358464 1485820 1698080 2377312 2716928 2971640 3396160 4754624 5943280 6792320 9509248 11886560 13584640 19018496 23773120 47546240 95092480