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3914457948 = 2233353102677
BaseRepresentation
bin1110100101010001…
…1110001101011100
3101002210202001211000
43221110132031130
531004100123243
61444232230300
7166001225562
oct35124361534
911083661730
103914457948
111729678215
12912b3b390
134a4ca090b
14291c47a32
1517d9c95d3
hexe951e35c

3914457948 has 48 divisors (see below), whose sum is σ = 10177443360. Its totient is φ = 1301110272.

The previous prime is 3914457923. The next prime is 3914457949. The reversal of 3914457948 is 8497544193.

3914457948 is a `hidden beast` number, since 3 + 91 + 445 + 79 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3914457894 and 3914457903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914457949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13215 + ... + 89462.

It is an arithmetic number, because the mean of its divisors is an integer number (212030070).

Almost surely, 23914457948 is an apocalyptic number.

It is an amenable number.

3914457948 is an abundant number, since it is smaller than the sum of its proper divisors (6262985412).

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

3914457948 is a wasteful number, since it uses less digits than its factorization.

3914457948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103043 (or 103035 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3914457948 is about 62565.6291265420. The cubic root of 3914457948 is about 1576.0036197491.

The spelling of 3914457948 in words is "three billion, nine hundred fourteen million, four hundred fifty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 38124 102677 205354 308031 410708 616062 924093 1232124 1848186 2772279 3696372 5544558 11089116 36244981 72489962 108734943 144979924 217469886 326204829 434939772 652409658 978614487 1304819316 1957228974 3914457948