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9952038 = 2331737293
BaseRepresentation
bin100101111101…
…101100100110
3200201121122000
4211331230212
510021431123
6553150130
7150406455
oct45755446
920647560
109952038
115688128
1233bb346
1320a5aa5
141470b9c
15d18b43
hex97db26

9952038 has 64 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3027456.

The previous prime is 9952037. The next prime is 9952039. The reversal of 9952038 is 8302599.

It is an interprime number because it is at equal distance from previous prime (9952037) and next prime (9952039).

It is a junction number, because it is equal to n+sod(n) for n = 9951993 and 9952011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33820 + ... + 34112.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 29952038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

9952038 is an abundant number, since it is smaller than the sum of its proper divisors (14179482).

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

9952038 is a wasteful number, since it uses less digits than its factorization.

9952038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9952038 is about 3154.6850872948. The cubic root of 9952038 is about 215.0984802135.

The spelling of 9952038 in words is "nine million, nine hundred fifty-two thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 293 306 333 459 586 629 666 879 918 999 1258 1758 1887 1998 2637 3774 4981 5274 5661 7911 9962 10841 11322 14943 15822 16983 21682 29886 32523 33966 44829 65046 89658 97569 134487 184297 195138 268974 292707 368594 552891 585414 1105782 1658673 3317346 4976019 9952038