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4739680 = 255112693
BaseRepresentation
bin10010000101001001100000
322220210121201
4102011021200
52203132210
6245330544
755200211
oct22051140
98823551
104739680
112747aa0
121706a54
13c9c45a
148b5408
1563953a
hex485260

4739680 has 48 divisors (see below), whose sum is σ = 12219984. Its totient is φ = 1722880.

The previous prime is 4739659. The next prime is 4739687. The reversal of 4739680 is 869374.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4739687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 3106.

It is an arithmetic number, because the mean of its divisors is an integer number (254583).

Almost surely, 24739680 is an apocalyptic number.

4739680 is a gapful number since it is divisible by the number (40) 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 4739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109992).

4739680 is an abundant number, since it is smaller than the sum of its proper divisors (7480304).

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

4739680 is a wasteful number, since it uses less digits than its factorization.

4739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 4739680 is about 2177.0806140334. The cubic root of 4739680 is about 167.9769431698.

It can be divided in two parts, 473 and 9680, that added together give a triangular number (10153 = T142).

The spelling of 4739680 in words is "four million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2693 5386 10772 13465 21544 26930 29623 43088 53860 59246 86176 107720 118492 148115 215440 236984 296230 430880 473968 592460 947936 1184920 2369840 4739680