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442165080 = 23357526387
BaseRepresentation
bin11010010110101…
…110011101011000
31010211000022110110
4122112232131120
51401143240310
6111513044320
713646225010
oct3226563530
91124008413
10442165080
11207655195
121040b66a0
13707b5756
1442a1cc40
1528c41d20
hex1a5ae758

442165080 has 64 divisors (see below), whose sum is σ = 1515997440. Its totient is φ = 101066112.

The previous prime is 442165079. The next prime is 442165103. The reversal of 442165080 is 80561244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262354 + ... + 264033.

It is an arithmetic number, because the mean of its divisors is an integer number (23687460).

Almost surely, 2442165080 is an apocalyptic number.

442165080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442165080 is an abundant number, since it is smaller than the sum of its proper divisors (1073832360).

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

442165080 is a wasteful number, since it uses less digits than its factorization.

442165080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526408 (or 526404 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 442165080 is about 21027.7217025526. The cubic root of 442165080 is about 761.8359812588.

The spelling of 442165080 in words is "four hundred forty-two million, one hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 526387 1052774 1579161 2105548 2631935 3158322 3684709 4211096 5263870 6316644 7369418 7895805 10527740 11054127 12633288 14738836 15791610 18423545 21055480 22108254 29477672 31583220 36847090 44216508 55270635 63166440 73694180 88433016 110541270 147388360 221082540 442165080