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94444920 = 23335157557
BaseRepresentation
bin1011010000100…
…01110101111000
320120201022002000
411220101311320
5143134214140
613212141000
72224524423
oct550216570
9216638060
1094444920
1149347959
1227767760
131674a18b
14c7869ba
158458a30
hex5a11d78

94444920 has 128 divisors (see below), whose sum is σ = 317390400. Its totient is φ = 24979968.

The previous prime is 94444907. The next prime is 94445023. The reversal of 94444920 is 2944449.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169282 + ... + 169838.

Almost surely, 294444920 is an apocalyptic number.

94444920 is a gapful number since it is divisible by the number (90) 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 94444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695200).

94444920 is an abundant number, since it is smaller than the sum of its proper divisors (222945480).

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

94444920 is a wasteful number, since it uses less digits than its factorization.

94444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 94444920 is about 9718.2776251762. The cubic root of 94444920 is about 455.3998337039.

The spelling of 94444920 in words is "ninety-four million, four hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 557 628 785 942 1080 1114 1256 1413 1570 1671 1884 2228 2355 2785 2826 3140 3342 3768 4239 4456 4710 5013 5570 5652 6280 6684 7065 8355 8478 9420 10026 11140 11304 13368 14130 15039 16710 16956 18840 20052 21195 22280 25065 28260 30078 33420 33912 40104 42390 50130 56520 60156 66840 75195 84780 87449 100260 120312 150390 169560 174898 200520 262347 300780 349796 437245 524694 601560 699592 787041 874490 1049388 1311735 1574082 1748980 2098776 2361123 2623470 3148164 3497960 3935205 4722246 5246940 6296328 7870410 9444492 10493880 11805615 15740820 18888984 23611230 31481640 47222460 94444920