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396625950 = 23352719472
BaseRepresentation
bin10111101001000…
…000100000011110
31000122022200112000
4113221000200132
51303014012300
6103205023130
712554156610
oct2751004036
91018280460
10396625950
11193980a46
12b09b4aa6
136422c916
143a966db0
1524c48c00
hex17a4081e

396625950 has 288 divisors, whose sum is σ = 1343366400. Its totient is φ = 84058560.

The previous prime is 396625927. The next prime is 396625979. The reversal of 396625950 is 59526693.

396625950 is a `hidden beast` number, since 396 + 6 + 259 + 5 + 0 = 666.

It is a super-3 number, since 3×3966259503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 396625896 and 396625905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8438827 + ... + 8438873.

Almost surely, 2396625950 is an apocalyptic number.

396625950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 396625950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671683200).

396625950 is an abundant number, since it is smaller than the sum of its proper divisors (946740450).

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

396625950 is a wasteful number, since it uses less digits than its factorization.

396625950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 396625950 is about 19915.4701174740. The cubic root of 396625950 is about 734.7287628914.

The spelling of 396625950 in words is "three hundred ninety-six million, six hundred twenty-five thousand, nine hundred fifty".