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83025152 = 287107433
BaseRepresentation
bin1001111001011…
…01110100000000
312210020010002122
410330231310000
5132223301102
612123303412
72025462560
oct474556400
9183203078
1083025152
1142958031
122397ab68
131427c312
14b052da0
1574500a2
hex4f2dd00

83025152 has 72 divisors (see below), whose sum is σ = 191612736. Its totient is φ = 35168256.

The previous prime is 83025143. The next prime is 83025157. The reversal of 83025152 is 25152038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83025157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191528 + ... + 191960.

It is an arithmetic number, because the mean of its divisors is an integer number (2661288).

Almost surely, 283025152 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 83025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95806368).

83025152 is an abundant number, since it is smaller than the sum of its proper divisors (108587584).

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

83025152 is a wasteful number, since it uses less digits than its factorization.

83025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 83025152 is about 9111.8138699164. The cubic root of 83025152 is about 436.2511248647.

The spelling of 83025152 in words is "eighty-three million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 256 428 433 448 749 856 866 896 1498 1712 1732 1792 2996 3031 3424 3464 5992 6062 6848 6928 11984 12124 13696 13856 23968 24248 27392 27712 46331 47936 48496 55424 92662 95872 96992 110848 185324 191744 193984 324317 370648 387968 648634 741296 775936 1297268 1482592 2594536 2965184 5189072 5930368 10378144 11860736 20756288 41512576 83025152