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83940948 = 2235713273
BaseRepresentation
bin1010000000011…
…01011001010100
312211221122100000
411000031121110
5132442102243
612155051300
72036325540
oct500153124
9184848300
1083940948
1143423093
1224140b30
1314510100
14b210a20
1575815d3
hex500d654

83940948 has 216 divisors, whose sum is σ = 276040128. Its totient is φ = 21835008.

The previous prime is 83940943. The next prime is 83940949. The reversal of 83940948 is 84904938.

It is a happy number.

It is a super-2 number, since 2×839409482 = 14092165502277408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83940943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1149840 + ... + 1149912.

Almost surely, 283940948 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 83940948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138020064).

83940948 is an abundant number, since it is smaller than the sum of its proper divisors (192099180).

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

83940948 is a wasteful number, since it uses less digits than its factorization.

83940948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83940948 is about 9161.9292728115. The cubic root of 83940948 is about 437.8492631987.

The spelling of 83940948 in words is "eighty-three million, nine hundred forty thousand, nine hundred forty-eight".