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84291232 = 253122741
BaseRepresentation
bin1010000011000…
…10111010100000
312212121102211111
411001202322200
5133034304412
612210353104
72042315014
oct501427240
9185542744
1084291232
1143642283
122428b794
131460368c
14b2a2544
1576002a7
hex5062ea0

84291232 has 36 divisors (see below), whose sum is σ = 171536778. Its totient is φ = 40771200.

The previous prime is 84291227. The next prime is 84291241. The reversal of 84291232 is 23219248.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 6780816 = 8804^2 + 2604^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 84291194 and 84291203.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29382 + ... + 32122.

Almost surely, 284291232 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 84291232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85768389).

84291232 is an abundant number, since it is smaller than the sum of its proper divisors (87245546).

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

84291232 is a wasteful number, since it uses less digits than its factorization.

84291232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2774 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 84291232 is about 9181.0256507647. The cubic root of 84291232 is about 438.4574635636.

The spelling of 84291232 in words is "eighty-four million, two hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 2741 3844 5482 7688 10964 15376 21928 30752 43856 84971 87712 169942 339884 679768 1359536 2634101 2719072 5268202 10536404 21072808 42145616 84291232