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90944840 = 2357379857
BaseRepresentation
bin1010110101110…
…11010101001000
320100010110212102
411122323111020
5141240213330
613005132532
72153006210
oct532732510
9210113772
1090944840
1147377228
122655a148
1315ac301c
14c115240
157eb6945
hex56bb548

90944840 has 64 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 31062528.

The previous prime is 90944837. The next prime is 90944851. The reversal of 90944840 is 4844909.

It is a junction number, because it is equal to n+sod(n) for n = 90944794 and 90944803.

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, 105692 + ... + 106548.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 290944840 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 90944840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

90944840 is an abundant number, since it is smaller than the sum of its proper divisors (143803960).

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

90944840 is a wasteful number, since it uses less digits than its factorization.

90944840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 90944840 is about 9536.5004063336. The cubic root of 90944840 is about 449.7032446751.

The spelling of 90944840 in words is "ninety million, nine hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 379 758 857 1516 1714 1895 2653 3032 3428 3790 4285 5306 5999 6856 7580 8570 10612 11998 13265 15160 17140 21224 23996 26530 29995 34280 47992 53060 59990 106120 119980 239960 324803 649606 1299212 1624015 2273621 2598424 3248030 4547242 6496060 9094484 11368105 12992120 18188968 22736210 45472420 90944840