Search a number
-
+
48220596 = 2234148829
BaseRepresentation
bin1011011111110…
…0100110110100
310100201212020000
42313330212310
544321024341
64441311300
71123603554
oct267744664
9110655200
1048220596
1125245936
1214195530
139cb44c8
146593164
1543778b6
hex2dfc9b4

48220596 has 30 divisors (see below), whose sum is σ = 126059010. Its totient is φ = 16073424.

The previous prime is 48220589. The next prime is 48220597. The reversal of 48220596 is 69502284.

It is a happy number.

48220596 is a `hidden beast` number, since 48 + 2 + 20 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 19448100 = 5364^2 + 4410^2 .

It is a super-3 number, since 3×482205963 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48220596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48220597) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74091 + ... + 74738.

It is an arithmetic number, because the mean of its divisors is an integer number (4201967).

Almost surely, 248220596 is an apocalyptic number.

It is an amenable number.

48220596 is an abundant number, since it is smaller than the sum of its proper divisors (77838414).

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

48220596 is a wasteful number, since it uses less digits than its factorization.

48220596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148845 (or 148834 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48220596 is about 6944.1051259324. The cubic root of 48220596 is about 363.9800033293.

It can be divided in two parts, 4822059 and 6, that added together give a triangular number (4822065 = T3105).

The spelling of 48220596 in words is "forty-eight million, two hundred twenty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 148829 297658 446487 595316 892974 1339461 1785948 2678922 4018383 5357844 8036766 12055149 16073532 24110298 48220596