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96442240 = 275314861
BaseRepresentation
bin1011011111110…
…01011110000000
320201110202212211
411233321132000
5144142122430
613323031504
72250513466
oct557713600
9221422784
1096442240
114a491534
122836b594
1316c9931b
14cb46836
15870072a
hex5bf9780

96442240 has 64 divisors (see below), whose sum is σ = 238043520. Its totient is φ = 37324800.

The previous prime is 96442237. The next prime is 96442253. The reversal of 96442240 is 4224469.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×964422402 = 18602211312435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 17410 + ... + 22270.

It is an arithmetic number, because the mean of its divisors is an integer number (3719430).

Almost surely, 296442240 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 96442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119021760).

96442240 is an abundant number, since it is smaller than the sum of its proper divisors (141601280).

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

96442240 is a wasteful number, since it uses less digits than its factorization.

96442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 96442240 is about 9820.5010055496. The cubic root of 96442240 is about 458.5877290391.

The spelling of 96442240 in words is "ninety-six million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4861 4960 9722 9920 19444 19840 24305 38888 48610 77776 97220 150691 155552 194440 301382 311104 388880 602764 622208 753455 777760 1205528 1506910 1555520 2411056 3013820 3111040 4822112 6027640 9644224 12055280 19288448 24110560 48221120 96442240