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48764340 = 22325270913
BaseRepresentation
bin1011101000000…
…1010110110100
310101202111002200
42322001112310
544440424330
64501104500
71131330042
oct272012664
9111674080
1048764340
1125587409
12143b8130
13a144b51
146695392
154433a60
hex2e815b4

48764340 has 36 divisors (see below), whose sum is σ = 147919044. Its totient is φ = 13003776.

The previous prime is 48764329. The next prime is 48764351. The reversal of 48764340 is 4346784.

48764340 is a `hidden beast` number, since 4 + 8 + 7 + 643 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48764329) and next prime (48764351).

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 17089956 = 5628^2 + 4134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 48764295 and 48764304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135277 + ... + 135636.

Almost surely, 248764340 is an apocalyptic number.

It is an amenable number.

48764340 is an abundant number, since it is smaller than the sum of its proper divisors (99154704).

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

48764340 is a wasteful number, since it uses less digits than its factorization.

48764340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270928 (or 270923 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48764340 is about 6983.1468551077. The cubic root of 48764340 is about 365.3429940288.

It can be divided in two parts, 4876 and 4340, that added together give a square (9216 = 962).

The spelling of 48764340 in words is "forty-eight million, seven hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 270913 541826 812739 1083652 1354565 1625478 2438217 2709130 3250956 4063695 4876434 5418260 8127390 9752868 12191085 16254780 24382170 48764340