Search a number
-
+
2935393032 = 23311132341907
BaseRepresentation
bin1010111011110110…
…1000101100001000
321120120110102020110
42232331220230020
522002430034112
61203135354320
7132512300115
oct25675505410
97516412213
102935393032
111276a53260
1269b0829a0
1337a1b3670
141dbbc990c
15122a8113c
hexaef68b08

2935393032 has 256 divisors, whose sum is σ = 9225861120. Its totient is φ = 765388800.

The previous prime is 2935393003. The next prime is 2935393061. The reversal of 2935393032 is 2303935392.

2935393032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2935393003) and next prime (2935393061).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3235923 + ... + 3236829.

It is an arithmetic number, because the mean of its divisors is an integer number (36038520).

Almost surely, 22935393032 is an apocalyptic number.

2935393032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2935393032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612930560).

2935393032 is an abundant number, since it is smaller than the sum of its proper divisors (6290468088).

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

2935393032 is a wasteful number, since it uses less digits than its factorization.

2935393032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 39.

The square root of 2935393032 is about 54179.2675476515. The cubic root of 2935393032 is about 1431.8210831574.

The spelling of 2935393032 in words is "two billion, nine hundred thirty-five million, three hundred ninety-three thousand, thirty-two".